STEADY STATE FREE- CONVECTIVE FLOW OF REACTIVE VISCOUS FLUID IN A VERTICAL PARALLEL PLATE MICROCHANNEL
AHMAD K. SAMAILA *
Department of Mathematics, Usmanu Danfodiyo University, Sokoto, Nigeria.
BASANT K. JHA *
Department of Mathematics, Ahmadu Bello University, Zaria, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
This paper examines the steady-state solutions of a viscous reactive fluid in a vertical parallel plate microchannel by taking the velocity and temperature jump at the wall into account. Perturbation technique is used to derive the analytical solutions for velocity field, temperature field, skin friction and rate of heat transfer for free-convective flow of viscous reactive fluid in a vertical micro- channel. The influences of velocity slip and temperature jump parameters on the temperature distribution and heat transfer are analyzed and discussed. It was found that there is an excellent agreement with Jha et al. [17] in the absence of temperature and velocity jump parameters.
Keywords: Steady-state, free-convective flow;, reactive viscous fluid, parallel plates, microchannel.