Abstract

The dynamics of the 3-dimensional flow of magnetized Carreau fluid past a paraboloid surface of revolution is studied through thermal radiation and mass transfer analysis. The impacts of Brownian motion and chemical reaction rate are considered on the flow dynamics. The system of nonlinear PDEs are converted to coupled ODEs by employing suitable transformation relations. The developed ODEs are solved by applying the standard procedure of homotopy analysis method (HAM). The impacts of various interesting parameters on the state variables of the Carreau fluid (velocity components, temperature, concentration, and shear stress) are explained through various graphs and tables. It is found that the horizontal velocity components augment with the rising magnetic parameter and Grashof number values. The fluid temperature augments with the higher values of the pertinent parameters except Prandtl number. The Nusselet number and fluid concentration enhance with the augmenting Brownian motion parameter. The shear stress augments with the rising Grashof number. The agreement of the obtained and published results validate the accuracy of the employed technique.

Highlights

  • Fluids are characterized by their ability to flow, as contrasted to solids which possess definite shapes

  • The increasing magnetic field produces higher Lorentz force which results in the reduction of velocities

  • We examined the impact of chemical reaction rate and Brownian motion parameters on the Magneto Hydro Dynamics (MHD)

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Summary

Introduction

Fluids (liquids and gases) are characterized by their ability to flow, as contrasted to solids which possess definite shapes. Reddy [22] investigated the mixed convective magnetized layer slip flow through a permeable surface in the existence of heat energy source and Ohmic effect by taking into account the impacts of radiation energy and chemical reaction. The radiation impact on the convective heat energy transformation in a current carrying fluid over an extendable surface having varying viscosity was investigated by. The mass and heat energy transformation properties of Newtonian as well as non-Newtonian fluids by considering the thermal radiation impact are discussed in the references [32,33,34]. Motivated by the above studies, we want to analytically examine the 3D Carreau fluid MHD flow over a horizontal paraboloid surface of revolution through thermal radiation and mass transfer analysis by considering the chemical reaction and Brownian motion effects.

Formulation of the Problem
Analytical Solution
Results and Discussion
Tables Discussion
Conclusions
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