Electromagnetic non-orthognal flow of variable viscosity nanofluid over a rotating riga disk with prescribed thermal slip

Abstract This paper investigates the complex dynamics of a 3D oblique magneto hydrodynamic (MHD) flow of Ag-water Nanofluid across a rotating Riga disk. Temperature dependent viscosity along with prescribed momentum and thermal slip on the surface of rotating Riga disk are taken into account. Permanent magnets are attached to a flat surface of the electrode array on Riga plate, which is oriented span-wise. This configuration produces an exponentially decaying Lorentz force parallel to the array. The interaction of magnetic fields, rotational effects, and boundary slip phenomena in a three-dimensional flow is the main topic of the study. The study uses the Shooting algorithm to investigate the effects of the Riga disk's rotation and the presence of a magnetic field on heat transfer and flow characteristics. Furthermore, the addition of momentum and thermal slip boundary conditions sheds more light on differences between realistic situations and standard no-slip models. With implications for better design and optimization in engineering systems involving rotating disks and magnetic fields, this work advances our understanding of complex fluid dynamics in MHD applications. Velocity profiles <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mi>f</mml:mi> <mml:mi>′</mml:mi> <mml:mo stretchy="false">(</mml:mo> <mml:mi>η</mml:mi> <mml:mo stretchy="false">)</mml:mo> </mml:math> and g ( η ) drops down while enhancing values of nano particle volume fraction ϕ whereas g ( η ) reduces by ehancement of Hartman number Ha and velocity slip parameter ω 1 . The temperature θ ( η ) rises with increasing thermal slip ω 2 velocity slip parameter ω 1 and Hartmann number Ha . Additionally, it increases with the volume fraction of solid nanoparticles ϕ and the width parameter δ . As width parameter δ increases, the local heat flux <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mo>−</mml:mo> <mml:mfrac> <mml:mrow> <mml:msub> <mml:mrow> <mml:mi>K</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>n</mml:mi> <mml:mi>f</mml:mi> </mml:mrow> </mml:msub> </mml:mrow> <mml:mrow> <mml:msub> <mml:mrow> <mml:mi>K</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>f</mml:mi> </mml:mrow> </mml:msub> </mml:mrow> </mml:mfrac> <mml:mo>.</mml:mo> <mml:mi>θ</mml:mi> <mml:mi>′</mml:mi> <mml:mo stretchy="false">(</mml:mo> <mml:mn>0</mml:mn> <mml:mo stretchy="false">)</mml:mo> </mml:math> decreases. Skin friction coefficient f″ (0) increases with viscosity parameter m and decreases with variations in thermal slip parameter ω 2 . 3D flow patterns exhibits the significant influence of momentum slip parameter ω 1 on the location of stagnation point.