Abstract
We discuss the thermal radiation effect on unsteady free-convective Couette flow of conducting fluid in the presence of transverse magnetic field. The mathematical model is highly nonlinear due to the effect of the thermal radiation. Both numerical solution by the finite difference method and the analytical solution of the steady state by the perturbation method are presented. The numerical solution at large time agrees with the analytic solution of the steady state.
Highlights
Amount of efforts have been instilled in the study of unsteady laminar free convection phenomenon in a vertical channels owing to its importance to chemical, biomedical, and environmental engineering and sciences
We have found an excellent agreement between the numerical solution at the large time and the analytical solution of the steady state
A special case of the present problem that exhibit analytical solution is the problem of steady state MHD natural convection Couette flow trapped between two infinite vertical plates in the presence of thermal radiation effects
Summary
Amount of efforts have been instilled in the study of unsteady laminar free convection phenomenon in a vertical channels owing to its importance to chemical, biomedical, and environmental engineering and sciences. Jha [13, 12] examined the unsteady flow behavior of a natural convection Couette flow of viscous reactive fluid in a vertical channel. Steady and unsteady Couette flows associated with magneto hydrodynamics have been subject of interest due to its applications ranging from desalination and viscos metric analysis. It has application in many devices such as power generators, pumps accelerators, heating electrostatics, precipitation, polymer technology, petroleum industry, purification of molten metals from non-metallic inclusions and droplets-sprays Hazem [10]. Salama [21] studied flow formation in Couette motion in magneto hydrodynamics with time varying suction and taking into account the effects of heat and mass transfer. The radiative heat flux term in the problem is simplified by using the Rosseland diffusion approximation for an optically thick fluid according to Rashad [20]
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: International Journal of Theoretical and Applied Mathematics
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
