MHD stagnation point flow of viscous nanofluid over a curved surface

Abstract In this article, we have examined the steady 2D magnetohydrodynamic (MHD) stagnation point flow of an incompressible viscous nanofluid over a curved surface based on mass suction. Alumina ( <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mi>A</mml:mi> <mml:msub> <mml:mrow> <mml:mi>l</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>2</mml:mn> </mml:mrow> </mml:msub> <mml:msub> <mml:mrow> <mml:mi>O</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>3</mml:mn> </mml:mrow> </mml:msub> </mml:math> ) is taken to be a nanoparticle while ethylene glycol is considered a base fluid. The developed flow and heat equations are changed into coupled ordinary differential equations through dimensionless variables, which are resolved numerically via the bvp4c scheme in MATLAB. The graphical results for temperature, velocity, Nusselt number and skin friction have been obtained under the effect of various parameters, such as suction parameter <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mi>S</mml:mi> <mml:mo>,</mml:mo> </mml:math> Hartmann number <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mi>M</mml:mi> <mml:mo>,</mml:mo> </mml:math> curvature parameter <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mi>K</mml:mi> </mml:math> and nanoparticle volume fraction <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mi>φ</mml:mi> <mml:mo>.</mml:mo> </mml:math> From these results, it is noticed that <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mi>S</mml:mi> <mml:mo>,</mml:mo> </mml:math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mi>M</mml:mi> </mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mi>φ</mml:mi> </mml:math> act directly on the skin friction and heat transfer rate, although the reverse effect has been shown by <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mi>K</mml:mi> <mml:mo>.</mml:mo> </mml:math> Furthermore, increasing <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mi>K</mml:mi> </mml:math> leads to lower fluid velocity and higher temperature field.

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