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Full-Text Articles in Other Physics

Effects Of Time And Diffusion Phase-Lags In A Thick Circular Plate Due To A Ring Load With Axisymmetric Heat Supply, R. Kumar, N. Sharma, P. Lata Dec 2016

Effects Of Time And Diffusion Phase-Lags In A Thick Circular Plate Due To A Ring Load With Axisymmetric Heat Supply, R. Kumar, N. Sharma, P. Lata

Applications and Applied Mathematics: An International Journal (AAM)

The purpose of this paper is to depict the effect of time, thermal, and diffusion phase lags due to axisymmetric heat supply in a ring. The problem is discussed within the context of DPLT and DPLD models. The upper and lower surfaces of the ring are traction-free and subjected to an axisymmetric heat supply. The solution is found by using Laplace and Hankel transform techniques. The analytical expressions of displacements, stresses and chemical potential, temperature and mass concentration are computed in transformed domain. Numerical inversion technique has been applied to obtain the results in the physical domain. Numerically simulated results …


Hydromagnetic Peristaltic Transportation With Porous Medium Through An Asymmetric Vertical Tapered Channel And Joule Heating, S. R. Kumar Dec 2016

Hydromagnetic Peristaltic Transportation With Porous Medium Through An Asymmetric Vertical Tapered Channel And Joule Heating, S. R. Kumar

Applications and Applied Mathematics: An International Journal (AAM)

The present paper deals with a theoretical investigation of the hydromagnetic peristaltic transportation with porous medium through coaxial asymmetric vertical tapered channel and joule heating which has been studied under the assumption of long wavelength approximations. Exact analytical expressions of axial velocity, volume flow rate, pressure gradient, temperature and heat transfer coefficient at both walls were calculated. The effects of various emerging parameters, Hartmann number, Non-uniform parameter, Prandtl number, Heat generator parameter, Brinkman number, Porous parameter are discussed through the use of graphs. We notice from the figures that the temperature of the fluid increases in the entire vertical tapered …


Non-Inflationary Bianchi Type Vi0 Model In Rosen’S Bimetric Gravity, M. S. Borkar, N. P. Gaikwad Dec 2016

Non-Inflationary Bianchi Type Vi0 Model In Rosen’S Bimetric Gravity, M. S. Borkar, N. P. Gaikwad

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, we have present the solution of Bianchi type VI0 space-time by solving the Rosen’s field equations with massless scalar field φ and with constant scalar potential V(φ) for flat region. It is observed that the scalar field φ is an increasing function of time and affects the physical parameters of the model and leads to non-inflationary type solution of model, which contradicts the inflationary scenario. Other geometrical and physical properties of the model in relation to this non-inflationary model are also studied.


Complex Solutions Of The Time Fractional Gross-Pitaevskii (Gp) Equation With External Potential By Using A Reliable Method, Nasir Taghizadeh, Mona N. Foumani Dec 2016

Complex Solutions Of The Time Fractional Gross-Pitaevskii (Gp) Equation With External Potential By Using A Reliable Method, Nasir Taghizadeh, Mona N. Foumani

Applications and Applied Mathematics: An International Journal (AAM)

In this article, modified (G'/G )-expansion method is presented to establish the exact complex solutions of the time fractional Gross-Pitaevskii (GP) equation in the sense of the conformable fractional derivative. This method is an effective method in finding exact traveling wave solutions of nonlinear evolution equations (NLEEs) in mathematical physics. The present approach has the potential to be applied to other nonlinear fractional differential equations. Based on two transformations, fractional GP equation can be converted into nonlinear ordinary differential equation of integer orders. In the end, we will discuss the solutions of the fractional GP equation with external potentials.


Heat And Mass Transfer In Mhd Micropolar Fluid In The Presence Of Diffusion Thermo And Chemical Reaction, R. V. M.S.S Kirankumar1, V. C. C.Raju, P. D. Prasad, S. V. Varma Dec 2016

Heat And Mass Transfer In Mhd Micropolar Fluid In The Presence Of Diffusion Thermo And Chemical Reaction, R. V. M.S.S Kirankumar1, V. C. C.Raju, P. D. Prasad, S. V. Varma

Applications and Applied Mathematics: An International Journal (AAM)

This work is devoted to investigating the influence of diffusion thermo effect on hydromagnetic heat and mass transfer oscillatory flow of a micropolar fluid over an infinite moving vertical permeable plate in a saturated porous medium in the presence of transverse magnetic field and chemical reaction. The dimensionless equations are solved analytically using perturbation technique. The effects of the various fluid flow parameters entering into the problem on the velocity, microrotation, temperature and concentration fields within the boundary layer are discussed with the help of graphs. Also the local skin-friction coefficient, the wall couple stress coefficient, and the rates of …


Jaguar Sun, Anya Nadal Nov 2016

Jaguar Sun, Anya Nadal

The STEAM Journal

Cymatics, is derived from a Greek word, meaning "wave", is a subset of modal vibrational phenomena. The term was coined by Hans Jenny, a Swiss follower of the philosophical school known as anthroposophy. This is a visual representation of the frequency field. I created this piece from acrylic on canvas based on the subtle energies I can see and feel.


Model For The Electrolysis Of Water And Its Use For Optimization, Roger Lascorz, Javier E. Hasbun Dr Jun 2016

Model For The Electrolysis Of Water And Its Use For Optimization, Roger Lascorz, Javier E. Hasbun Dr

Georgia Journal of Science

The goal of this research was to study the optimization of the electrolysis of water both theoretically and experimentally. For accuracy, 3 hr experiments were made with measurements recorded every 15 min. The results show that a better model than the classical one is needed for water electrolysis. A new model that fits experimental data better is proposed. The results of this new model not only predict hydrogen production in electrolysis of water better, but show a way to predict gas production of any liquid as well as what voltage to use to optimize it.


Bianchi Type-I Hyperbolic Models With Perfect Fluid And Dark Energy In Bimetric Theory Of Gravitation, M. S. Borkar, S. S. Charjan, V. V. Lepse Jun 2016

Bianchi Type-I Hyperbolic Models With Perfect Fluid And Dark Energy In Bimetric Theory Of Gravitation, M. S. Borkar, S. S. Charjan, V. V. Lepse

Applications and Applied Mathematics: An International Journal (AAM)

Three different Bianchi type-I cosmological models as related to perfect fluid, with quintessence and with Chaplygin gas, in bimetric theory of gravitation have been deduced. The perfect fluid model has hyperbolic geometry and all its physical parameters are also hyperbolic in nature and therefore they have been studied from hyperbolic geometric view point. All these models are isotropize and shear-less. Other geometrical and physical behaviors of the models have also been studied. The hyperbolic geometric view point of the models will be helpful to the people who use observational data to search for such type of geometry.


Thermal Vibration Of Magnetostrictive Functionally Graded Material Shells With The Transverse Shear Deformation Effects, C. C. Hong Jun 2016

Thermal Vibration Of Magnetostrictive Functionally Graded Material Shells With The Transverse Shear Deformation Effects, C. C. Hong

Applications and Applied Mathematics: An International Journal (AAM)

The transverse shear deformation effect on the functionally graded material (FGM) circular cylindrical shells with mounted magnetostrictive layer under thermal vibration is investigated by using the generalized differential quadrature (GDQ) method. In the time dependent of displacement field, the first order shear deformation theory (FSDT) is used. The dynamic equilibrium differential equations with displacements and shear rotations of FGM shells under the magnetostrictive load and thermal load are normalized into the dynamic discrete equations. The computational solutions for thermal stresses and center deflections of magnetostrictive FGM circular cylindrical shells with four edges in simply supported boundary conditions are obtained. Some …


Lrs Bianchi Type-I Cosmology With Gamma Law Eos In F(R; T) Gravity, Pratishtha Shukla, Amritha Jayadev Jun 2016

Lrs Bianchi Type-I Cosmology With Gamma Law Eos In F(R; T) Gravity, Pratishtha Shukla, Amritha Jayadev

Applications and Applied Mathematics: An International Journal (AAM)

We have studied the locally rotationally symmetric (LRS) Bianchi type-I line element in f(R; T) (R is the Ricci scalar and T is the trace of the stress energy tensor) theory of gravity in presence of EoS parameter. The simplest case of f(R; T) gravity, i.e. first choice, is considered. The “gamma-law” equations of state are considered to explore the role of particle creation in the early universe. The exact solutions of the field equations are obtained using the scalar expansion proportional to the shear. The physical and kinematical properties of the model are studied.


Effect Of Fluid Suction On An Oscillatory Mhd Channel Flow With Heat Transfer, N. Ahmed, A. H. Sheikh, D. P. Barua Jun 2016

Effect Of Fluid Suction On An Oscillatory Mhd Channel Flow With Heat Transfer, N. Ahmed, A. H. Sheikh, D. P. Barua

Applications and Applied Mathematics: An International Journal (AAM)

Magnetohydrodynamics (MHD) is generally concerned with the study of the magnetic properties (behaviour) of electrically conducting fluids (plasmas, liquid metals etc.) moving in an electromagnetic field. The importance of the concept of MHD in various fields such as astrophysics, bio-medical research, missile technology and geophysics motivates the modelling and investigation of MHD flow and transport problems. The role of fluid suction is paramount in laminar flow control and has wide applications in fields such as aeronautical engineering, automobile engineering and rocket science. This fact inspires the study of the effects of fluid suction in flow and transport models. Time dependent …


On The Global Existence And Boundedness Of Solutions Of Nonlinear Vector Differential Equations Of Third Order, Timur Ayhan, Cemil Tunç Jun 2016

On The Global Existence And Boundedness Of Solutions Of Nonlinear Vector Differential Equations Of Third Order, Timur Ayhan, Cemil Tunç

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, we give some criteria to ensure the global existence and boundedness of solutions to a kind of third order nonlinear vector differential equations. By using the Lyapunov's direct method, we obtain a new result on the topic and give an example for the illustrations. Our result includes, completes and improves some earlier results in the literature.


Lrs Bianchi Type-Ii Cosmological Model With String Bulk Viscous Fluid And Magnetic Field In Barber’S Second Self Creation Theory, M. S. Borkar, N. K. Ashtankar Jun 2016

Lrs Bianchi Type-Ii Cosmological Model With String Bulk Viscous Fluid And Magnetic Field In Barber’S Second Self Creation Theory, M. S. Borkar, N. K. Ashtankar

Applications and Applied Mathematics: An International Journal (AAM)

We present a solution of LRS Bianchi type-II space-time with string viscous fluid and magnetic field by solving the Barber’s field equations of self-creation theory of gravitation and it is seen that Barber scalar function 𝜙 affects the other physical parameters of the model and contributes a very high matter density, with high particle density at early stage of the universe and also it contributes the negative role of bulk viscous fluid in the evolution. Other geometrical and physical aspects of the model are also studied.


Enhancement Of Heat Transfer In Elastico-Viscous Fluid Due To Nanoparticles, Where The Fluid Is Impinging Obliquely To The Stretchable Surface: A Numerical Study, Tariq Javed, Abuzar Ghaffari, Tasawar Hayat Jun 2016

Enhancement Of Heat Transfer In Elastico-Viscous Fluid Due To Nanoparticles, Where The Fluid Is Impinging Obliquely To The Stretchable Surface: A Numerical Study, Tariq Javed, Abuzar Ghaffari, Tasawar Hayat

Applications and Applied Mathematics: An International Journal (AAM)

This article addresses the two-dimensional oblique stagnation point flow of non-Newtonian fluid in the presence of nanoparticles. Constitutive equations of Walter-B fluid are employed in the mathematical development of the relevant problems. Mathematical formulation includes the Brownian motion and thermophoresis effects. The resulting nonlinear system of equations are analyzed through Chebyshev Spectral Newton Iterative Scheme (CSNIS). A comparative study of present results through tabular values has been made with the previous results in a limiting sense and an excellent agreement is noted. It is also found that in near stagnation point region, the heat transfer rate and mass diffusion flux …


The Millikan Oil Drop Experiment: A Simulation Suitable For Classroom Use, Benjamin Hogan, Javier E. Hasbun May 2016

The Millikan Oil Drop Experiment: A Simulation Suitable For Classroom Use, Benjamin Hogan, Javier E. Hasbun

Georgia Journal of Science

Due to advancements in computing techniques it has become possible to extend the accessibility of physics experiments across the physics curriculum by means of computational simulations. The widespread availability of computers in modern classrooms provides virtual access to hands-on physics, chemistry, and biology experiments, among others. Here, specifically, we consider Robert Millikan’s famous oil drop experiment. This experiment requires equipment that can be dangerous and expensive. A more practical approach is achieved via a computer simulation, a useful and a universally available alternative. The goal is to encourage scientific thinking, literacy, and innovation while promoting a free network of academic …