Numerical Solution of MHD Boundary Layer Flow of Non-Newtonian Casson Fluid on a Moving Wedge with Heat and Mass Transfer and Induced Magnetic Field

Eldabe, Nabil T.; Ghaly, A. Y.; Rizkallah, Raafat R.; Ewis, Karem Mahmoud; AL-bareda, Ameen S.

doi:10.4236/jamp.2015.36078

Cited by 35 publications

(21 citation statements)

References 12 publications

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“…El-Dabe et al reported the numerical treatment for casson fluid [11]. The effects of different parameters of self-similar nature was described in his study.…”

Section: Introductionmentioning

confidence: 97%

Applications of Nanofluids for the Thermal Enhancement in Radiative and Dissipative Flow over a Wedge

et al. 2019

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The colloidal analysis for H2O and EG (Ethylene Glycol) by considering the influence of radiative heat flux and viscous dissipation is not performed so far. This study is performed to fill up this gap. Therefore, the flow of water and ethylene glycol functionalized magnetite nanoparticles over a moving wedge is examined. For thermal enhancement, two different magnetite nanoparticles, namely CoFe 2 O 4 (Cobalt ferrite) and Mn − ZnFe 2 O 4 ( Mn − Zn ferrite), diluted in the base fluids. Self-similar flow model of a nonlinear nature, containing the volume fraction of nanoparticles is obtained by using compatible similarity variables. For mathematical treatment of the model, the Runge-Kutta scheme is utilized, coupled with shooting techniques. The results for flow characteristics and significant physical parameters are graphically examined. A comprehensive comparative analysis has been made, which proved the reliability of the study.

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“…El-Dabe et al reported the numerical treatment for casson fluid [11]. The effects of different parameters of self-similar nature was described in his study.…”

Section: Introductionmentioning

confidence: 97%

Applications of Nanofluids for the Thermal Enhancement in Radiative and Dissipative Flow over a Wedge

et al. 2019

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“…Due to extensive practical applications of MHD in technological processes such as plasma studies, petroleum industries, MHD power generator designs, design for cooling of nuclear reactors, and construction of heat exchangers and on the performance of many other systems, there are many studies that considered MHD fluid flow past a wedge. These include the work of Abbasbandy et al [10] who examined the effects of MHD in the Falken-Skan flow of Maxwell fluid, and El-Dabe et al [11] considered the MHD boundary layer flow of non-Newtonian 2 Mathematical Problems in Engineering Casson fluid on a moving wedge with heat and mass transfer. Khan et al [12] also analyzed MHD laminar boundary layer flow past a wedge with the influence of thermal radiation, heat generation, and chemical reaction.…”

Section: Introductionmentioning

confidence: 99%

Magnetohydrodynamic (MHD) Boundary Layer Flow Past a Wedge with Heat Transfer and Viscous Effects of Nanofluid Embedded in Porous Media

Ibrahim

Tulu

2019

Mathematical Problems in Engineering

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The problem of two-dimensional steady laminar MHD boundary layer flow past a wedge with heat and mass transfer of nanofluid embedded in porous media with viscous dissipation, Brownian motion, and thermophoresis effect is considered. Using suitable similarity transformations, the governing partial differential equations have been transformed to nonlinear higher-order ordinary differential equations. The transmuted model is shown to be controlled by a number of thermophysical parameters, viz. the pressure gradient, magnetic, permeability, Prandtl number, Lewis number, Brownian motion, thermophoresis, and Eckert number. The problem is then solved numerically using spectral quasilinearization method (SQLM). The accuracy of the method is checked against the previously published results and an excellent agreement has been obtained. The velocity boundary layer thickness reduces with an increase in pressure gradient, permeability, and magnetic parameters, whereas thermal boundary layer thickness increases with an increase in Eckert number, Brownian motion, and thermophoresis parameters. Greater values of Prandtl number, Lewis number, Brownian motion, and magnetic parameter reduce the nanoparticles concentration boundary layer.

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“…Jamalabadi et al [13] analyzed the formulation of subcooled boiling flow of nanofluid under the effect of a magnetic field. El-Dabe et al [14] studied the characteristics of heat and mass transfer on MHD boundary layer flow of non-Newtonian fluid on a moving wedge. Khan et al [15] also found the numerical assets on MHD laminar boundary layer flow past a wedge with the effects of, heat generation, thermal radiation and chemical reaction.…”

Section: Introductionmentioning

confidence: 99%

Numerical Study for the Effects of Temperature Dependent Viscosity Flow of Non-Newtonian Fluid with Double Stratification

et al. 2020

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The main aim of the current study is to determine the effects of the temperature dependent viscosity and thermal conductivity on magnetohydrodynamics (MHD) flow of a non-Newtonian fluid over a nonlinear stretching sheet. The viscosity of the fluid depends on stratifications. Moreover, Powell–Eyring fluid is electrically conducted subject to a non-uniform applied magnetic field. Assume a small magnetic reynolds number and boundary layer approximation are applied in the mathematical formulation. Zero nano-particles mass flux condition to the sheet is considered. The governing model is transformed into the system of nonlinear Ordinary Differential Equation (ODE) system by using suitable transformations so-called similarity transformation. In order to calculate the solution of the problem, we use the higher order convergence method, so-called shooting method followed by Runge-Kutta Fehlberg (RK45) method. The impacts of different physical parameters on velocity, temperature and concentration profiles are analyzed and discussed. The parameters of engineering interest, i.e., skin fraction, Nusselt and Sherwood numbers are studied numerically as well. We concluded that the velocity profile decreases by increasing the values of S t , H and M. Also, we have analyzed the variation of temperature and concentration profiles for different physical parameters.

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Numerical Solution of MHD Boundary Layer Flow of Non-Newtonian Casson Fluid on a Moving Wedge with Heat and Mass Transfer and Induced Magnetic Field

Cited by 35 publications

References 12 publications

Applications of Nanofluids for the Thermal Enhancement in Radiative and Dissipative Flow over a Wedge

Applications of Nanofluids for the Thermal Enhancement in Radiative and Dissipative Flow over a Wedge

Magnetohydrodynamic (MHD) Boundary Layer Flow Past a Wedge with Heat Transfer and Viscous Effects of Nanofluid Embedded in Porous Media

Numerical Study for the Effects of Temperature Dependent Viscosity Flow of Non-Newtonian Fluid with Double Stratification

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