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Steady-State Green’S Function Solution For Moving Media With Axial Conduction, A. Haji-Sheikh, J. V. Beck, Kevin D. Cole
Steady-State Green’S Function Solution For Moving Media With Axial Conduction, A. Haji-Sheikh, J. V. Beck, Kevin D. Cole
Department of Mechanical and Materials Engineering: Faculty Publications
The objective of this presentation is the development of a generalized steady-state Green’s function solution to study the temperature field in moving bodies. This type of solution permits the inclusion of different nonhomogeneous boundary conditions, volumetric heat sources, and possible position-dependent thermophysical properties. Although the mathematical formulation is for moving solids, it can be used to study the heat transfer in a moving fluid with a non-uniform velocity distribution passing through a micro-channel or fluid-saturated porous ducts. Additionally, this presentation includes the application of this Green’s function solution to acquire numerical information for selected examples to further illustrate the numerical …
Steady-Periodic Heating In Parallel-Plate Microchannel Flow With Participating Walls, Kevin D. Cole
Steady-Periodic Heating In Parallel-Plate Microchannel Flow With Participating Walls, Kevin D. Cole
Department of Mechanical and Materials Engineering: Faculty Publications
Simulations are presented for thermal sensing of steady laminar flow in a parallel-plate microchannel. Steady-periodic heating is introduced at the channel wall and temperatures are reported at upstream and downstream locations to represent temperature sensors. Exact analytical expressions for the temperature are given in the form of integrals, and numerical values are found by quadrature. Because axial conduction is prominent, there is a well-defined measurable flow range associated with each thermal-sensor geometry. Various fluid-flow rates, heating frequencies, sensor locations, and wall properties are explored. The results are given as a design correlation which shows the extent to which a given …