Numerical solution of micropolar fluid flow via stretchable surface with chemical reaction and melting heat transfer using Keller-Box method

Khilap Singh ^a, Alok Kumar Pandey ^b,*, Manoj Kumar ^a

a. Department of Mathematics, Statistics and Computer Science, G. B. Pant University of Agriculture and Technology,  Pantnagar, Uttarakhand, 263145, India
        b. Department of Mathematics, Graphic Era Deemed to be University, Dehradun, Uttarakhand, 248002, India

Abstract: The main theme of this research is to find the numerical results of stagnation point flow of micropolar fluid over a porous stretchable surface due to the physical effects of internal heat generation/absorption, melting heat transfer and chemical reaction via Keller-Box method (KBM). The graphs and tables are depicted and explained for various embedded parameters. The range of melting heat transfer parameter is  , the range of chemical reaction parameter is   whereas the values of space-temperature dependent heat source/sink parameters lies in   and  . The upshots of the current problem illustrate that at fluid-solid interface, rate of HMT (heat and mass transfer) declined on escalating the values of stretching parameter. Moreover, as the values of internal heat source/sink parameter increases, heat transfer rate declines at fluid-solid interface.

Keywords: Chemical reaction; Implicit finite difference Keller-Box method (KBM); Internal heat generation/absorption; Heat and mass transfer (HMT); Melting heat transfer; Porous medium