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Abstract

The present paper deals with a theoretical investigation of the hydromagnetic peristaltic transportation with porous medium through coaxial asymmetric vertical tapered channel and joule heating which has been studied under the assumption of long wavelength approximations. Exact analytical expressions of axial velocity, volume flow rate, pressure gradient, temperature and heat transfer coefficient at both walls were calculated. The effects of various emerging parameters, Hartmann number, Non-uniform parameter, Prandtl number, Heat generator parameter, Brinkman number, Porous parameter are discussed through the use of graphs. We notice from the figures that the temperature of the fluid increases in the entire vertical tapered channel with an increase in Magnetic field, Brinkman number, Prandtl number and Heat generation parameter. We notice that the temperature profiles are found almost parabolic in nature. Further, it can be noticed that the heat transfer coefficient gradually decreases and then increases with increasing values of the Hartmann number, Brinkman number, Prandtl number, and Heat generation parameter in the entire vertical tapered channel at the right wall. It can be seen that the heat transfer coefficient slowly decreases and then increases in the rest of the channel with increasing values of the Hartmann number, Brinkman number, Prandtl number, and Heat generation parameter in entire vertical tapered channel at left the wall. It can be observed that the coefficient of heat transfer gives the oscillatory behaviour which is due to the propagation of peristaltic waves.

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