Exact multiple solutions of 2-D bidirectional moving plate micropolar hybrid nanofluid flow with heat transfer

Abstract

Consider a hybrid copper-aluminum oxide/water flow over a permeable deforming surface with constant wall and prescribed wall temperature of non-Newtonian micropolar hybrid nanofluid flow under velocity slip boundary condition. The main purpose is to assess the existence of unique or multiple exact solutions of governing system of nonlinear coupled ordinary differential equations that describe the flow and heat fields. Similarity transformation variables are used to reduce the micropolar hybrid nanofluid flow and heat transfer model into nonlinear differential equations, which are exactly solvable in explicit forms. The classification of solutions into physically meaningful solutions depends entirely on the domains of parameters. Critical values determined for mass transfer are definitive in positioning and bordering the solutions. The profiles of velocity, microrotation and temperatures in the micropolar fluid reveal monotonically decaying behavior. The cases when parameters attain special values, produce special as well as dual exact solutionsIn addition, the visual analysis showing the influences of state parameters on wall moving velocity, angular velocity, constant wall temperature, linearly growing wall temperature and rate of heat transfer is presented. • Multiple solutions for hybrid nanofluid flow of bidirectional deforming plane problem. • Parametric domains determine regions for unique and multiple solutions. • No solutions fall in the region 0 ≤ K ≤ 1 , and only one solution exists for K > 1 . • For large values of velocity slip, the stretching/shrinking velocity diminishes. • Larger temperature jump values abate heat transfer rate.