A Semi-analytical study on the investigation of magnetohydrodynamic flow of Sutterby Nanofluid

Abstract

Using the bvp4c approach, the system of non-linear partial differential equations (PDEs) is transformed into non-linear ordinary differential equations (ODEs) in order to study Entropy Minimization on Magnetohydrodynamic flow of Sutterby nanofluid. Ananthaswamy Sivasankari Method (ASM), Modified Homotopy Analysis Method (MHAM) are two methods used to conduct a semi-analytical study. The semi-analytical expressions for dimensionless velocity profile, temperature profile and microorganism profiles are derived explicitly and compared with the numerical solution. To illustrate how different physical characteristics affect the problem, the graphical results are interlineated. The physical parameters like unitless Nusselt number, sherwood number, skin friction coefficients and microorganism density profiles are presented in tabular form. We can easily derive mathematical expressions for the above physical parameters using the dimensionless temperature profile, microorganism profile and velocity profile. Furthermore, the answer is in its clearest and simplest form. An outstanding agreement was established when the comparison was conducted with earlier research. Also, the above two methods can be easily extended to apply non-linear boundary value problems in partial differential equations.