Magnetohydrodynamic flow and heat transfer of non-Newtonian power-law nanofluid over a rotating disk with Hall current

The present work covers the flow and heat transfer model for the power-law nanofluid in the presence of a porous medium over the penetrable plate. The flow is caused by the impulsive movement of the plate embedded in Darcy’s type porous medium. The flow and heat transfer model has been examined with the effect of linear thermal radiation and the internal heat source or sink in the flow regime. The Rosseland approximation is utilized for the optically thick nanofluid. To form the closed-form solutions for the governing partial differential equations of conservation of mass, momentum, and energy, the Lie symmetry analysis is used to get the reductions of governing equations and to find the group invariants. These invariants are then utilized to obtain the exact solution for all three cases, i.e., shear thinning fluid, Newtonian fluid, and shear thickening fluid. In the end, all solutions are plotted for the cu -water nanofluid and discussed briefly for the different emerging flow and heat transfer parameters.

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Unsteady flow and heat transfer of power-law nanofluid thin film over a stretching sheet with variable magnetic field and power-law velocity slip effect

Journal of the Taiwan Institute of Chemical Engineers ◽

10.1016/j.jtice.2016.10.052 ◽

2017 ◽

Vol 70 ◽

pp. 104-110 ◽

Cited By ~ 51

Author(s):

Yan Zhang ◽

Min Zhang ◽

Yu Bai

Keyword(s):

Magnetic Field ◽

Thin Film ◽

Heat Transfer ◽

Power Law ◽

Stretching Sheet ◽

Velocity Slip ◽

Variable Magnetic Field ◽

Slip Effect ◽

Flow And Heat Transfer ◽

Power Law Nanofluid

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Flow and heat transfer of MHD non-Newtonian power-law fluids due to rotating disk

Journal of Physics Conference Series ◽

10.1088/1742-6596/1366/1/012043 ◽

2019 ◽

Vol 1366 ◽

pp. 012043

Author(s):

N D K Rosli ◽

S A Kechil

Keyword(s):

Heat Transfer ◽

Power Law ◽

Rotating Disk ◽

Flow And Heat Transfer ◽

Power Law Fluids

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Magnetohydrodynamic flow and heat transfer of a hybrid nanofluid over a rotating disk by considering Arrhenius energy

Communications in Theoretical Physics ◽

10.1088/1572-9494/abdaa5 ◽

2021 ◽

Vol 73 (4) ◽

pp. 045002

Author(s):

M Gnaneswara Reddy ◽

Naveen Kumar R ◽

B C Prasannakumara ◽

N G Rudraswamy ◽

K Ganesh Kumar

Keyword(s):

Heat Transfer ◽

Rotating Disk ◽

Magnetohydrodynamic Flow ◽

Hybrid Nanofluid ◽

Flow And Heat Transfer ◽

Arrhenius Energy

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Coupled flow and heat transfer of power-law Nanofluids on a non-isothermal rough rotary disk subject to magnetic field

Chinese Physics B ◽

10.1088/1674-1056/ac46bd ◽

2021 ◽

Author(s):

Yunxian Pei ◽

Xuelan Zhang ◽

Liancun Zheng ◽

Xinzi Wang

Keyword(s):

Magnetic Field ◽

Heat Transfer ◽

Power Law ◽

Numerical Solutions ◽

Volume Fraction ◽

Rotating Disk ◽

Coupled Flow ◽

Friction Coefficients ◽

Nanoparticle Shape ◽

Flow And Heat Transfer

Abstract In this paper, we study coupled flow and heat transfer of power-law nanofluids on a non-isothermal rough rotating disk subject to a magnetic field. The problem is formulated in terms of specified curvilinear orthogonal coordinate system. An improved BVP4C algorithm is proposed and numerical solutions are obtained. The influence of volume fraction, types and shapes of nanoparticles, magnetic field and power-law index on the flow and heat transfer behavior are discussed.<br/>Results show that the power-law exponents (PLE), nanoparticle volume fraction (NVF) and magnetic field inclination angle (MFIA) are almost no effects on velocities in wave surface direction, but have small or significant effects on azimuth direction. NVF have remarkable influence on local Nusselt number (LNN) and friction coefficients (FC) in radial and azimuth directions (AD). LNN increases with NVF while FC in AD decrease. The types of nanoparticles, magnetic field strength and inclination have small effects on LNN, but they have remarkable effects on the friction coefficients with positively correlated while the inclination is negatively correlated with heat transfer rate. The size of the nanoparticle shape factor is positively correlated with LNN.

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