Abstract
In this paper, we have considered the two-dimensional stagnation point flow and heat transfer of an electrically conducting viscous fluid over an exponentially stretching sheet. The Navier-Stokes equations are reduced into a system of highly non-linear ordinary differential equations by similarity transformations. The resulting systems are then solved numerically by shooting method. The effects of suction/injection parameters on the boundary layer are discussed in detail. Our numerical results reveal that for a particular range of the velocity ratio parameter, dual solutions exist. Interestingly these two solution branches show opposite characters in the velocity and temperature profiles. Thus, it is worthwhile to carry a stability analysis of these two solutions to determine the feasible solution. A linear temporal stability analysis has been carried out, and the stability is tested by the sign of the smallest eigenvalue. The smallest eigenvalues are found by two different numerical schemes, which agree well up to the desired accuracy. The effects of the pertinent flow parameters in the velocity and temperature profiles are discussed in detail and are shown graphically.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
More From: Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering
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.