Abstract
The main objective of current communication is to present a mathematical model and numerical simulation for momentum and heat transference characteristics of Maxwell nanofluid flow over a stretching sheet. Further, magnetic dipole, non-uniform heat source/sink, and chemical reaction effects are considered. By using well-known similarity transformation, formulated flow equations are modelled into OD equations. Numerical solutions of the governing flow equations are attained by utilizing the shooting method consolidated with the fourth-order Runge-Kutta with shooting system. Graphical results are deliberated and scrutinized for the consequence of different parameters on fluid characteristics. Results reveal that the temperature profile accelerates for diverse values of space dependent parameter, but it shows opposite behaviour for escalated integrity of temperature dependent parameter.
Highlights
Fluids exhibiting non-Newtonian behavior were used in many engineering applications such as hydraulic fracturing, remediation, and solar heating applications and in several industrial processes
We introduce the following the dimensionless coordinates and dimensionless variables as follows: η, ξ c ]f y, x
The dominant nonlinear PD equations are reduced into terminated ODEs by using suitable analogy variables, and the obtained expressions are tackled numerically with the aid of RKF 45 with shooting system arrangement by employing shooting pattern
Summary
Fluids exhibiting non-Newtonian behavior were used in many engineering applications such as hydraulic fracturing, remediation, and solar heating applications and in several industrial processes. The scrutiny of the various physical and chemical phenomenon on the flow of different liquids over a stretching surface has assisted many researchers in developing numerous applications related to real-life problems and industrial areas. This inspection helps us to study the control rate of heat flow and is applicable in the areas like production of paper sheets, extruding polymers, crystals, glass, fibers, electronic chips, and metallic sheets. Incompressible, and two-dimensional flow of Maxwell nanofluid in the presence of magnetic dipole, chemical reaction, and non-uniform heat source/sink over a stretching sheet. Physical quantities of practical interest in their dimensionless form are as follows (Abel and Nandeppanavar, 2009; Rehman et al, 2017; Aleem et al, 2020):
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