Abstract
The problem of fully developed free convection flow of electrically conducting fluid in an inclined microchannel in the presence of transverse magnetic field and internal heat generation is investigated. The analytical solution for velocity profile and temperature profile have been obtained, considering the velocity slip and temperature jump conditions at the wall of the microchannel. The effect of different parameters involved in the problem on the velocity and temperature profile along with the skin friction parameter and Nusselt number has been discussed graphically.
Highlights
The study of micro-electro-mechanical system (MEMS) and nano-electrical-mechanical systems (NEMS) has attracted much attention to design micro-devices such as micro-motors, micro-sensors, micro-mechanical gyroscopes, micro-pumps, micro valves, micro-rockets, micro-gasturbines, micro-heat-exchangers, biological and chemical devices etc
The analytical solution for the problem of natural convection in an inclined microchannel can be obtained in the presence of transverse magnetic field
A parametric study of the Knudsen number, Hartmann Number, Fluid wall interaction parameter, heat generation coefficient and angle of inclination is performed to illustrate their influence on the solutions
Summary
The study of micro-electro-mechanical system (MEMS) and nano-electrical-mechanical systems (NEMS) has attracted much attention to design micro-devices such as micro-motors, micro-sensors, micro-mechanical gyroscopes, micro-pumps, micro valves, micro-rockets, micro-gasturbines, micro-heat-exchangers, biological and chemical devices etc. The transient hydrodynamics and thermal behaviors of fluid flow in an open ended vertical parallel plate microchannel under the hyperbolic heat conduction model, were investigated by A. Chamkha et al [12, 13] studied the MHD free convection flow of a nanofluid past a vertical Plate in the presence of heat generation or absorption effects. Jha et al [10], investigated the MHD natural convection in a vertical parallel plate microchannel considering velocity slip and temperature jump conditions at the fluid- wall interface. We discussed an analytic study of steady MHD free convective flow of an incompressible electrically conducting fluid through an inclined microchannel taking into account heat generation and influence of a uniform magnetic field
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