Exact self-similar solutions of the magnetohydrodynamic boundary layer system for power-law fluids

Zhang, Zhongxin; Wang, Junyu

doi:10.1007/s00033-006-5117-4

Cited by 12 publications

(5 citation statements)

References 15 publications

(18 reference statements)

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“…Mukhopadhyay et al [16] have investigated the problem of MHD boundary layer flow over a heated stretching sheet where the viscosity is considered to be variable. Zhang and Wang [17] have presented an exact selfsimilar solution for the problem of MHD boundary layer system for power-law fluids. Elbashbeshy et al [18] have considered the problem of unsteady laminar flow and heat transfer of an incompressible viscous fluid in the presence of thermal radiation, internal heat generation or absorbtion and magnetic field over an exponentially stretching surface subject to suction with an exponential temperature distribution.…”

Section: Introductionmentioning

confidence: 99%

Three-dimensional magneto-hydrodynamic flow over an exponentially stretching surface

Emam¹,

Elmaboud²

2017

IJHT

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The effect of magnetic field on the three-dimensional flow of a nanofluid induced by exponentially stretching surface is studied. The fluid temperature is also assumed to be distributed exponentially. The problem is solved using two methods: The first one is numerical and the second is homotopy analysis method (HAM). The obtained results are compared with some previous studies in some limiting cases and found to be in a good agreement. The results reveal the roles that the nano-particle volume fraction and magnetic field strength play in the variation of both of the fluid temperature and velocity.

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Section: Introductionmentioning

confidence: 99%

Three-dimensional magneto-hydrodynamic flow over an exponentially stretching surface

Emam¹,

Elmaboud²

2017

IJHT

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“…Here, B * shows the applied magnetic field which is a function of x and is in the form B � B 0 x (m− 1/2) , where B 0 denotes the uniform magnetic field (for precedence, we can see [48,49]), U * (x) denotes the free stream velocity and described in function of x, and is U * (x) � (u 0 /x − m ), in which u 0 is an invariable quantity and m (0 ≤ m ≤ 1) describes the Falkner Skan power law parameter. e expression β � β(2 − β) − 1 , in which β � (Ω/π) describes the Hartree pressure gradient.…”

Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

Numerical Investigation of Heat and Mass Transport in the Flow over a Magnetized Wedge by Incorporating the Effects of Cross-Diffusion Gradients: Applications in Multiple Engineering Systems

Alqahtani

Adnan

Khan

et al. 2020

Mathematical Problems in Engineering

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The flow over a wedge is significant and frequently occurs in civil engineering. It is significant to investigate the heat and mass transport characteristics in the wedge flow. Therefore, the analysis is presented to examine the effects of preeminent parameters by incorporating the cross-diffusion gradients in the energy and mass constitutive relations. From the analysis, it is perceived that the temperature drops against a higher Prandtl number. Due to concentration gradients in the energy equation, the temperature rises slowly. Moreover, it is examined that the mass transfer significantly reduces due to Schmidt effects and more mass transfer is pointed against the Soret number. The shear stresses increase due to stronger magnetic field effects. The local thermal performance of the fluid enhances against more dissipative fluid, and DuFour effects reduced it. Furthermore, the mass transport rate drops due to higher Soret effects and increases against multiple Schmidt number values.

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“…The details of this phenomenon can be found in Davidson and applications can be found in petroleum industries, purification of crude oil, plasma physics, cooling of nuclear reactors, and aerodynamics . The first study on MHD boundary layer flows obeying a power‐law model was conducted by Sarpkaya and then followed by Zhang and Wang, Makinde, Makinde and Aziz, Makinde and Olanrewaju, and Khan et al They explored the same phenomenon under different boundary conditions and investigated the buoyancy effects on the thermal boundary layer over a vertical plate.…”

Section: Introductionmentioning

confidence: 99%

Hydromagnetic blasius flow of power‐law nanofluids over a convectively heated vertical plate

2015

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In this study, the hydromagnetic Blasius flow of power‐law nanofluids is investigated numerically. A convectively heated impermeable vertical plate is used and a constant transverse magnetic field is applied at the plate surface. The characteristics of water‐based non‐Newtonian nanofluids are explored using a non‐Newtonian power‐law model. A Buongiorno model is employed to include the effects of Brownian motion and thermophoresis in the study. The governing mass, momentum, thermal energy, and nanoparticle concentration equations are transformed into nonlinear ordinary differential equations which are solved using a spectral relaxation method. The effects of nanofluid parameters (0≤Nb,Nt≤0.5), power index 0.5≤n≤1.5, generalized Prandtl (5≤Pr≤8), and Schmidt (0.5≤Sc≤2) numbers on dimensionless velocity, temperature, concentration, skin friction, local Nusselt, and Sherwood numbers are explored. It is found that pseudoplastic nanofluids have higher skin friction and lower heat and mass transfer rates than dilatant nanofluids.

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Exact self-similar solutions of the magnetohydrodynamic boundary layer system for power-law fluids

Cited by 12 publications

References 15 publications

Three-dimensional magneto-hydrodynamic flow over an exponentially stretching surface

Three-dimensional magneto-hydrodynamic flow over an exponentially stretching surface

Numerical Investigation of Heat and Mass Transport in the Flow over a Magnetized Wedge by Incorporating the Effects of Cross-Diffusion Gradients: Applications in Multiple Engineering Systems

Hydromagnetic blasius flow of power‐law nanofluids over a convectively heated vertical plate

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