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Full-Text Articles in Applied Mathematics
On A Generator Of Copulas Method Based On A Duplication-Parameter Technique, Christophe Chesneau
On A Generator Of Copulas Method Based On A Duplication-Parameter Technique, Christophe Chesneau
International Journal of Emerging Multidisciplinaries: Mathematics
A two-dimensional copula is a function that accurately depicts the pattern of dependence between two quantitative variables. The demand for new two-dimensional copulas is as strong as ever, driven by the emergence of contemporary data from various sources. This paper makes a contribution to this area by presenting a novel modification of the well-known convex sums of copulas method. This modification is based on a thorough duplication-parameter technique: we transform one parameter into two, and we apply the classical convex sums method to only one of these parameters in the unit distribution setting. The main goals are (i) to solve …
Utilization Of Adomain Decomposition Method And Laplace Transform To Study Fractional Kdv And Fractional Benjamin Models Via Caputo Fractional Operator, Muhammad Sohail, Hina Younis
Utilization Of Adomain Decomposition Method And Laplace Transform To Study Fractional Kdv And Fractional Benjamin Models Via Caputo Fractional Operator, Muhammad Sohail, Hina Younis
International Journal of Emerging Multidisciplinaries: Mathematics
In the present study, we implement Adomian decomposition method (ADM) to solve fractional potential Korteweg-de Vries (p-KdV) and Benjamin models. The investigated approach is a hybrid of the Adomian decomposition method and the Laplace transform, and the fractional operator developed by Caputo has been utilized in the present research. In a vast accessible domain, the proposed solution tackle impacts and regulates the gained conclusions. Additionally, it provides a simple technique for determining the point of convergence region of the derived result. To ensure that the LADM is realistic and dependable, mathematical simulations for each equation were run, and the results …
Homotopy Analysis Method Using Jumarie’S Approach For Nonlinear Wave-Like Equations Of Fractional-Order, Naveed Imran, Raja Mehmood Khan, Mubashir Qayyum
Homotopy Analysis Method Using Jumarie’S Approach For Nonlinear Wave-Like Equations Of Fractional-Order, Naveed Imran, Raja Mehmood Khan, Mubashir Qayyum
International Journal of Emerging Multidisciplinaries: Mathematics
In this paper, Homotopy Analysis Method (HAM) using the modified Riemann–Liouville fractional derivative proposed by G. Jumarie is applied to tackle the nonlinear wave like equations of fractional-order. The proposed technique is fully compatible with the complexity of these problems and obtained results are highly encouraging. Numerical results coupled with graphical repetitions explicitly reveal the complete reliability and efficiency of the suggested algorithm.
Computational Study Of Twin Circular Particles Settling In Fluid Using A Fictitious Boundary Approach, Imran Abbas, Kamran Usman
Computational Study Of Twin Circular Particles Settling In Fluid Using A Fictitious Boundary Approach, Imran Abbas, Kamran Usman
International Journal of Emerging Multidisciplinaries: Mathematics
The objective of this study is to examine the performance of two adjacent solid particles as they settle in close nearness, with a focus on comprehending the intricate interactions between the particles and the surrounding fluid during the process of sediment transport. Simulations are conducted with different initial horizontal spacing between particles and Reynolds numbers (Re). The findings of the simulations highlight the impact of the initial spacing between particles and Reynolds numbers (Re) as key factors influencing the ultimate settling velocity and separation distance. In general, when the initial spacing between particles is small and the Reynolds number (Re) …
Time-Fractional Navier-Stokes Equation Solved By Fractional Variation Of Parameters Method: An Analytic Approach, Muhammad Shakil Shaiq, Shoaib Ali, Azeem Shahzad, Tahir Naseem
Time-Fractional Navier-Stokes Equation Solved By Fractional Variation Of Parameters Method: An Analytic Approach, Muhammad Shakil Shaiq, Shoaib Ali, Azeem Shahzad, Tahir Naseem
International Journal of Emerging Multidisciplinaries: Mathematics
In this investigation, we make use of the Variation of Parameters Method (VPM) to find a solution to the nonlinear time-fractional Navier-Stokes equation. Additionally, the fractional derivative in the sense of Riemann-Liouville is presented and discussed. Within the scope of this investigation, the Variation of Parameters Method (VPM) has been modified to include a fractional multiplier. The Fractional Variation of Parameters Method (FVPM) was created as an iterative way to solve the time-fractional nonlinear time-fractional Navier-Stokes equation. According to the findings of the calculations, the newly developed algorithm (FVPM) is compatible, accurate, and reliable.
Contribution Of Double Diffusion Theories And Thermal Radiation On Three Dimensional Nanofluid Flow Via Optimal Homotopy Analysis Procedure, Muhammad Sohail, Nida Alyas, Muhammad Saqib
Contribution Of Double Diffusion Theories And Thermal Radiation On Three Dimensional Nanofluid Flow Via Optimal Homotopy Analysis Procedure, Muhammad Sohail, Nida Alyas, Muhammad Saqib
International Journal of Emerging Multidisciplinaries: Mathematics
This paper investigated influences of heat radiation and magnetic forces on the movement of a viscous nanofluid along the stretched sheet. For heat and mass transport Cattaneo-Christov fluxes explained thermal and concentration diffusions. By applying the proper transformations, nonlinear partial differential systems can be transformed into ordinary differential systems. The resultant ordinary differential problems are evaluated using the optimal homotopy analysis procedure (OHAP). Additionally, skin friction, heat transport, and mass transport rates are calculated numerically. Diagrams have been created to show how different physical movement conditions affect temperature and concentration profiles. According to our research, temperatures and concentration profiles are …
New Modification Of Homotopy Perturbation Method For Multi-Point Boundary Value Problems, Mubashir Qayyum, Imbsat Oscar, Naveed Imran
New Modification Of Homotopy Perturbation Method For Multi-Point Boundary Value Problems, Mubashir Qayyum, Imbsat Oscar, Naveed Imran
International Journal of Emerging Multidisciplinaries: Mathematics
In this paper a modification of homotopy perturbation method (HPM) is proposed for multi-point boundary value problems (BVPs). In this modification, HPM is hybrid with least square (LS) optimizer and named as least square homotpy perturbation method (LSHPM). Proposed method is applied to nonlinear multi-point BVPs and results are compared with HPM. The validity and convergence of the obtained solutions are confirmed by finding residual errors in each case. Analysis reveals that LSHPM is providing much accurate results as compared to HPM and hence can be used for more complex problems.
Current Developments On Extreme Value Copulas: Extended Pickands Dependence Functions, Christophe Chesneau
Current Developments On Extreme Value Copulas: Extended Pickands Dependence Functions, Christophe Chesneau
International Journal of Emerging Multidisciplinaries: Mathematics
Copulas are mathematical tools used to model the dependence structure between random variables. Extreme value copulas specifically focus on capturing the tail dependence, which refers to the dependence structure between random variables when they exhibit extreme or rare events. The Pickands dependence functions are special convex functions that play a crucial role in characterizing extreme value copulas; they quantify the strength of their tail dependence. The creation of new Pickands dependence functions enhances our understanding of complex interdependencies, enabling more accurate modeling and risk assessment in diverse systems. In this article, a theoretical contribution to the topic is provided; an …
A Guide To Uncertainty And Global Sensitivity Analysis In Lumped-Parameter Models Of The Cardiovascular System, Raheem Gul, Aamir Shahzad, Syed Muhammad Jawwad Riaz
A Guide To Uncertainty And Global Sensitivity Analysis In Lumped-Parameter Models Of The Cardiovascular System, Raheem Gul, Aamir Shahzad, Syed Muhammad Jawwad Riaz
International Journal of Emerging Multidisciplinaries: Mathematics
In this paper, a general 5-steps framework of uncertainty analysis (UA) and sensitivity analysis (SA) in lumped parameter models of the cardiovascular system (partial or complete) is presented. In order to conduct proper UA and SA, a high number of model simulations is required. Therefore, lumped parameter (0D) models of the cardiovascular system (CVS) are suitable for UA and SA as compared to high or multi-dimensional models (3D,2D,1D). As an example, a linear elastic lumped-parameter model of arm arteries is considered and a 5-steps framework is applied to quantify the impact of input parameters on output variables. The framework uses …
Homotopy Analysis Method Using Jumarie’S Approach For Multi-Dimensional Nonlinear Schrödinger Equations, Naveed Imran, Raja Mehmood Khan
Homotopy Analysis Method Using Jumarie’S Approach For Multi-Dimensional Nonlinear Schrödinger Equations, Naveed Imran, Raja Mehmood Khan
International Journal of Emerging Multidisciplinaries: Mathematics
In this paper, we suggest a fractional functional for the Homotopy Analysis Method (HAM) to solve the nonlinear fractional order partial differential equations with fractional order initial conditions by using the modified Riemann–Liouville fractional derivative proposed by G. Jumarie. Graphs have been plotted for different values of α , which clearly reflect the reliability of proposed scheme
Fem Simulations To Analyze Flow And Thermal Characteristics Of Carreau Non-Newtonian Fluid In A Square Cavity, Sardar Muhammad Bilal, Noor Zeb Khan, Rimsha Nisar
Fem Simulations To Analyze Flow And Thermal Characteristics Of Carreau Non-Newtonian Fluid In A Square Cavity, Sardar Muhammad Bilal, Noor Zeb Khan, Rimsha Nisar
International Journal of Emerging Multidisciplinaries: Mathematics
Heat transfer aspects induced by natural convection in enclosures have promising utilizations and essence from theoretical as well as practical prospective like in, nuclear and chemical reactors, electronic devices, cooling, polymeric processes, solar power collection and so forth. After viewing aforementioned extensive practical importance present communicatn is addressed to explain the flow attributes of Non-Newtonian Carreau fluid model in a square cavity. For non-elastic Carreau fluid model expressing the stress and strain relations at infinite and zero stress magnitude. Mathematical formulation of problem is conceded by obliging conservation laws of momentum and energy. A square enclosure with unit dimension is …
Radiation Effects On Boundary Layer Flow And Heat Transfer Of The Power Law Fluid Over A Stretching Cylinder With Convective Boundary Conditions, Azeem Shahzad, Areeba Zafar, Shakil Shaiq, Tahir Naseem
Radiation Effects On Boundary Layer Flow And Heat Transfer Of The Power Law Fluid Over A Stretching Cylinder With Convective Boundary Conditions, Azeem Shahzad, Areeba Zafar, Shakil Shaiq, Tahir Naseem
International Journal of Emerging Multidisciplinaries: Mathematics
In this work, a power law fluid model is used to examine the boundary layer flow and heat transfer characteristics over an unsteady horizontal stretching cylinder under the influence of convective boundary conditions. It is presumed that partial slip conditions exist and that the thermal conductivity of the nanofluid is a function of temperature at the boundary. Through similarity transformation, the coupled partial differential equations are converted into ordinary differential equations (ODEs), which are then resolved in MATLAB with BVP4C. By contrasting the computed findings with the published results, the validity of the results is proven. The effects of different …
Effect Of Cattaneo-Christov Model Over A Vertical Stretching Cylinder Using Sio2 Nanofluid, Zaffer Elahi, Maimoona Siddiqua, Azeem Shahzad
Effect Of Cattaneo-Christov Model Over A Vertical Stretching Cylinder Using Sio2 Nanofluid, Zaffer Elahi, Maimoona Siddiqua, Azeem Shahzad
International Journal of Emerging Multidisciplinaries: Mathematics
This paper represents the heat transfer of SiO2 nano uid over a vertical stretching cylinder. By using, suitable transformations, the governing partial differential equations are changed into non-linear ordinary differential equations, which are then solved by the numerical solver namely BVP4C. The scrutinized results both in the form of graphical and numerically have been developed from the scheme BVP4C. By using pictorial graphs, the physical parameter that appear in temperature profile are discussed. Further, the rate of shear-stress and heat transfer at the surface have been computed and tabulated in Tables 3-4.
Homotopy Analysis Method For Free-Convective Boundary-Layer Equation Using Pade ´Approximation: Pade ´Approximation For Free-Convective Boundary-Layer Equation, Raja Mehmood Khan, Naveed Imran
Homotopy Analysis Method For Free-Convective Boundary-Layer Equation Using Pade ´Approximation: Pade ´Approximation For Free-Convective Boundary-Layer Equation, Raja Mehmood Khan, Naveed Imran
International Journal of Emerging Multidisciplinaries: Mathematics
This paper is devoted to the study of a free-convective boundary layer flow modeled by a system of nonlinear ordinary differential equations. We apply Homotopy Analysis Method (HAM) along with Pade´ approximation to solve free-convective boundary-layer equation. It is observed that the combination of HAM and the Pade´ approximation improves the accuracy and enlarge the convergence domain.
Axisymmetric Hydromagnetized Heat Transfer Across A Stretching Sheet With Joule Heating And Radiation, Tahir Naseem, Sajeela Bibi
Axisymmetric Hydromagnetized Heat Transfer Across A Stretching Sheet With Joule Heating And Radiation, Tahir Naseem, Sajeela Bibi
International Journal of Emerging Multidisciplinaries: Mathematics
This investigation thoroughly analyses magnetohydrodynamics axisymmetric fluid flow and heat transfer over an exponentially stretching sheet in the presence of radiation and Joule heating effects. The governing partial differential equation is obtained and converted into coupled ordinary differential equations using a suitable similarity transformation. This transformation is also used to re-model the governing system to modify ODEs and boundary conditions using the BVP4C MATLAB) package. The effects of the involved physical parameters, such as suction/injection parameter, magnetic parameter, Prandtl number, Eckert number, and radiation parameter on velocity and temperature profiles are shown graphically. The effects of various parameters on Nusselt …
Numerical Solution Of An Inviscid Burger Equation With Cauchy Conditions, Muhammad Zahid
Numerical Solution Of An Inviscid Burger Equation With Cauchy Conditions, Muhammad Zahid
International Journal of Emerging Multidisciplinaries: Mathematics
This article deals with the solution of the Cauchy problem for the Inviscid Burger equation. Various numerical techniques like Upwind non Conservative, Upwind Conservative, Lax Friedrich, Lax Wendorff, and Mac Cormack, are used to solve initial-value problems for the Inviscid Burger equation. Through various model problems, the efficiency and accuracy of the techniques have been shown via the graphical and tabulated form with the exact solution
Heat And Mass Transfer Of Viscous Fluid In A Permeable Channel With Reabsorbing Walls, Aamir Shahzad, Aniqa Shah, Shamsul Haq
Heat And Mass Transfer Of Viscous Fluid In A Permeable Channel With Reabsorbing Walls, Aamir Shahzad, Aniqa Shah, Shamsul Haq
International Journal of Emerging Multidisciplinaries: Mathematics
An analytical investigation is made to determine the heat and mass transfer mechanism of non-isothermal highly viscous uid in a longnarrow porous channel. The walls of the channel are maintained at the same temperature. The mathematical model is developed by using the continuity, momentum, energy and diffusion equations. Analytical solutions are establish to get the expressions of velocity field, pressure distribution, mass ow rate, wall shear stress, temperature profile, mass concentration distribution as well as the heat transfer rate (Nusselt number) and mass transfer rate (Sherwood number) with involved physical parameters. Numerical results are graphically sketched to describe the role …
Theory And Computations For The System Of Integral Equations Via The Use Of Optimal Auxiliary Function Method, Laiq Zada, Falak Naz, Rashid Nawaz
Theory And Computations For The System Of Integral Equations Via The Use Of Optimal Auxiliary Function Method, Laiq Zada, Falak Naz, Rashid Nawaz
International Journal of Emerging Multidisciplinaries: Mathematics
This paper extends the application of Optimal Auxiliary Function Method (OAFM) to the system of integral equations. The system of Volterra integral equations of second kind are taken as test examples. The results obtained by proposed method are compared with different methods i.e., Biorthogonal systems in a Banach space Fixed point, the implicit Trapezoidal rule in conjunction with Newton's method, and Relaxed Monte Carlo method (RMCM). The results revealed that OAFM is more efficient, simple to apply, and fast convergent. The auxiliary functions used in the method control its convergence. The values of arbitrary constants involved in the auxiliary functions …
Three Dimensional Mhd Viscous Flow Under The Influence Of Thermal Radiation And Viscous Dissipation, Sana Akbar, Muhammad Sohail
Three Dimensional Mhd Viscous Flow Under The Influence Of Thermal Radiation And Viscous Dissipation, Sana Akbar, Muhammad Sohail
International Journal of Emerging Multidisciplinaries: Mathematics
The present study elucidates the results on the mathematical modeling and numerical study for the viscous flow demeanor past over the plane horizontal surface stretched nonlinearly in two sideways. Furthermore, a comprehensive analysis on the effects of magnetic field, thermal radiation and viscous dissipation are considered and observed. Cartesian coordinate system is employed for modelling the flow equations. In this research water act as a traditional thermal fluid. Three distinct nanoparticles namely Gold (Au), Aluminum (Al) and Silver (Ag) are suspended. Numerical and analytical solution for the resulting differential equations demonstrates the flow demeanor for velocity and temperature distribution are …
Homotopy Analysis Method For Fourth-Order Time Fractional Diffusion-Wave Equation, Naveed Imran, Raja Mehmood Khan
Homotopy Analysis Method For Fourth-Order Time Fractional Diffusion-Wave Equation, Naveed Imran, Raja Mehmood Khan
International Journal of Emerging Multidisciplinaries: Mathematics
This paper is devoted to the study of a fourth-order fractional diffusion-wave equation defined in a bounded space domain. We apply Homotopy Analysis Method (HAM) to obtain solutions of fourth-order fractional diffusion-wave equation defined in a bounded space domain. It is observed that the HAM improves the accuracy and enlarge the convergence domain.
Flow And Heat Transfer Of Power Law Fluid Over Horizontal Stretching Cylinder With Partial Slip Condition And Thermal Radiation, Zakia Shamim, Azeem Shahzad, Tahir Naseem
Flow And Heat Transfer Of Power Law Fluid Over Horizontal Stretching Cylinder With Partial Slip Condition And Thermal Radiation, Zakia Shamim, Azeem Shahzad, Tahir Naseem
International Journal of Emerging Multidisciplinaries: Mathematics
The aim of the present study is to investigate the boundary layer flow of power-law fluid over the horizontal stretching cylinder. The temperature-dependent thermal conductivity of the power-law fluid is considered. Combined effects of constant thermal conductivity and viscous dissipation are analyzed in heat transfer. The relevant boundary layer partial differential equations (PDEs) are transformed into ordinary differential equations (ODEs) by using suitable transformations. These nonlinear ordinary differential equations are solved by the BVP4C method using MATLAB. The accuracy of computed results is checked by comparing them with existing literature. To discuss the effects of flow parameters on velocity and …
Squeezing Flow Between Two Parallel Plates Under The EffEcts Of Maxwell Equation And Viscous Dissipation, Muhammad Bilal, Anwar Saeed, Ayesha Ali
Squeezing Flow Between Two Parallel Plates Under The EffEcts Of Maxwell Equation And Viscous Dissipation, Muhammad Bilal, Anwar Saeed, Ayesha Ali
International Journal of Emerging Multidisciplinaries: Mathematics
The unsteady, incompressible electroviscous fluid flow has been investigated with thermal energy transmission across two parallel plates. The upper plate is in motion, while the lower one is stationary. The flow is governed by the Navier-Stokes equations, which are combined with the Maxwell equation. The system of nonlinear PDEs is simplified to a system of ODEs along with their boundary conditions using Von-Karman's transformation. For the problem's analytic solution, the homotopy analysis method (HAM) has been used, and the result is compared to the Runge Kutta method of order four and latest computational technique parametric continuation method (PCM) to determine …
Homotopy Analysis Method For Non-Linear Schrodinger Equations, Naveed Imran, Raja Mehmood Khan
Homotopy Analysis Method For Non-Linear Schrodinger Equations, Naveed Imran, Raja Mehmood Khan
International Journal of Emerging Multidisciplinaries: Mathematics
This paper applies Homotopy Analysis Method (HAM) to obtain analytical solutions of nonlinear Schrödinger equations. Numerical results clearly reflect complete compatibility of the proposed algorithm and discussed problems. Several examples are presented to show the efficiency and simplicity of the method.
Numerical Investigation Of Viscous Fluid Flow And Heat Transfer In The Closed Configuration Installed With Baffles, Afraz Hussain, Aqsa Afzal, Rashid Mahmood
Numerical Investigation Of Viscous Fluid Flow And Heat Transfer In The Closed Configuration Installed With Baffles, Afraz Hussain, Aqsa Afzal, Rashid Mahmood
International Journal of Emerging Multidisciplinaries: Mathematics
In this study, the flow and heat transfer of viscous fluid features inside the closed configuration with a heated baffles are investigated. Due to the non-linearity of the model, the numerical approach is adopted to get the solution. Initially, the governing equations were discretized in the 2D domain using the Finite Element Method (FEM). To improve accuracy, a hybrid mesh is built at a coarse level, then the grid refinement level is increased. The baffle gap (B.g) is varied from 0.2 to 0.6 and three Reynolds numbers are chosen for this investigation: . The Grashof number is fixed in all …
Multiple Attribute Decision Making Based On Interval-Valued Neutrosophic Trapezoidal Fuzzy Numbers And Its Application In The Diagnosis Of Viral Flu, Muhammad Touqeer, Ehtisham Rasool
Multiple Attribute Decision Making Based On Interval-Valued Neutrosophic Trapezoidal Fuzzy Numbers And Its Application In The Diagnosis Of Viral Flu, Muhammad Touqeer, Ehtisham Rasool
International Journal of Emerging Multidisciplinaries: Mathematics
Decision-making technique (DMT) is mostly used in artificial intelligence and cognitive sciences to elaborate individual and social perception. So, one of the most important strategies in DMT evolved in medical diagnosis scrutiny regarding the connection of symptoms and diagnosis of diseases due to uncertainty and fuzziness in the relevant information. The focus of this article is to develop a diagnostic decision making strategy for the diagnosis of Viral diseases with close related symptoms using the Interval-valued trapezoidal neutrosophic fuzzy Numbers (IVTrNFN) w.r.t multiple attribute decision making (MADM) strategy where, the attribute value is evolved to Interval-valued trapezoidal neutrosophic fuzzy number …
Numerical Analysis Of A Falling Circular Particle Passing Through A Fluid Channel Having Diamond Shaped Obstacles, Kamran Usman
Numerical Analysis Of A Falling Circular Particle Passing Through A Fluid Channel Having Diamond Shaped Obstacles, Kamran Usman
International Journal of Emerging Multidisciplinaries: Mathematics
It has been analyzed that the particle motion inside a vertical channel while passing across diamond shaped obstacles produces severe effects on the fluid. Particle interaction with outer boundary, internal obstacles and with the fluid is inspected. An Eulerian based approach using a computational mesh is used in which solid particles are allowed to move freely in fluid domain. Fluid and particle interaction inside the whole domain is carried using Fictitious boundary method (FBM). A multigrid finite element method combined with the fictitious boundary method (FEM-FBM) is used for the simulation of in-compressible fluid flow along with rigid particle falling …
Joule And Viscous Dissipation Effects On Mhd Boundary Layer Flow Over A Stretching Sheet With Variable Thickness, Asif Mahmood, Saleem Ahmed, Huma Iram
Joule And Viscous Dissipation Effects On Mhd Boundary Layer Flow Over A Stretching Sheet With Variable Thickness, Asif Mahmood, Saleem Ahmed, Huma Iram
International Journal of Emerging Multidisciplinaries: Mathematics
This paper is aimed to investigate the influence of Joule and viscous dissipation effects on boundary layer flow over a stretching sheet with variable thickness and surface temperature. The flow is subjected to space dependent magnetic field applied normal to the sheet. Mathematical modeling is done under boundary layer approximations. The governing partial differential equations are transformed into ordinary differential equations via appropriate similarity transformations. The resulting set of nonlinear equations is solved numerically. The impact of various physical parameters on velocity and temperature profiles is analyzed. Also, their effects on skin friction coefficient and Nusselt number are presented and …
Homotopy Analysis Method For Solving System Of Non-Linear Partial Differential Equations, Naveed Imran, Raja Mehmood Khan
Homotopy Analysis Method For Solving System Of Non-Linear Partial Differential Equations, Naveed Imran, Raja Mehmood Khan
International Journal of Emerging Multidisciplinaries: Mathematics
This paper applies Homotopy Analysis Method (HAM) to obtain analytical solutions of system of non-linear partial differential equations. Numerical results clearly reflect complete compatibility of the proposed algorithm and discussed problems. Moreover, the validity of the present solution and suggested scheme is presented and the limiting case of presented findings is in excellent agreement with the available literature. The computed solution of the physical variables against the influential parameters is presented through graphs. Several examples are presented to show the efficiency and simplicity of the method.
Analysis Of Non-Isothermal Mhd Thin Film Flow From Moving Belt With Slip And Variable Viscosity, Shamsul Haq, Aamir Shahzad, Muhammad Ilyas
Analysis Of Non-Isothermal Mhd Thin Film Flow From Moving Belt With Slip And Variable Viscosity, Shamsul Haq, Aamir Shahzad, Muhammad Ilyas
International Journal of Emerging Multidisciplinaries: Mathematics
This paper aims the study of electrically conducting Newtonian fluid flow and heat transfer considering the slip at the moving belt with temperature dependent viscosity. A domain decomposition method (ADM) is employed to solve the non-linear system of equations. Explicit expressions are obtained for velocity profile and temperature distribution. Effect of variable viscosity parameter, slip, Hartmann number, Brinkmann number and Stoke number are discussed and graphically shown.
Examining The Behavior Of A Solid Particle Interacting With Circular Obstacles In An Incompressible Flow, Kamran Usman, Muhammad Yaqoob, Kainat Komal Kayani, Muhammad Shahid
Examining The Behavior Of A Solid Particle Interacting With Circular Obstacles In An Incompressible Flow, Kamran Usman, Muhammad Yaqoob, Kainat Komal Kayani, Muhammad Shahid
International Journal of Emerging Multidisciplinaries: Mathematics
We have examined the effects on fluid and particle motion due to solid particles passing around circular obstacles in particulate flows. Particle interaction with internal obstacles, outer boundary and with the fluid is inspected. Eulerian approach using a fixed computational mesh is used across which the solid particles move freely in fluid. Treatment of fluid and particle interaction inside the whole domain is carried using Fictitious boundary method (FBM). A collision model is presented to handle particle-cylinder interactions. The particulate flow is computed using multigrid finite element solver FEATFLOW. Numerical experiments are performed considering different particle positions and different alignment …