Analysis of the MHD Boundary Layer Flow over a Nonlinear Stretching Sheet in a Porous Medium Using Semianalytical Approaches

Jabeen, K.; Mushtaq, Muhammad; Akram, Rana MUhammad

doi:10.1155/2020/3012854

Cited by 33 publications

(33 citation statements)

References 14 publications

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“…e temperature variation within the flow is supposed to be small enough so T 4 can be taken as a linear function of temperature neglecting the higher order term while expanding T 4 in Taylor-series about T ∞ is obtained as [20,21]…”

Section: Formulation Of Flow Modelmentioning

confidence: 99%

“…Also, he concluded that the We and n retard the velocity of fluid but enhance the temperature profile. He declared that DTM is more powerful technique [20,21]. Due to vast number of applications in the industrial, technological, and engineering developments, the Carreau model was further worked out by numerous researchers/authors in the last decades [22][23][24][25][26].…”

Section: Introductionmentioning

confidence: 99%

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A Numerical Study of MHD Carreau Nanofluid Flow with Gyrotactic Microorganisms over a Plate, Wedge, and Stagnation Point

Muntazir

Mushtaq

Jabeen

2021

Mathematical Problems in Engineering

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This article addresses the numerical exploration of steady and 2D flow of MHD Carreau nanofluid filled with motile microorganisms over three different geometries, i.e., plate, wedge, and stagnation point of a flat plate. The influence of magnetic field, viscous dissipation, thermophoresis, and Brownian motion is considered for both cases, i.e., shear thinning and shear thickening. A set of relevant similarity transformations are utilized to obtain dimensionless form of governing coupled nonlinear partial differential equations (PDEs). The transformed system of ordinary differential equations (ODEs) is then numerically solved by bvp4c via MATLAB based on shooting technique and Runge–Kutta–Fehlberg (RKF) scheme via MAPLE. Also, a numerical analysis has been made for skin friction factor, heat, and mass transfer rates. Results elucidate that all the profiles except velocity show decreasing behavior for higher values of magnetic field parameter. Among all three flow geometries for both shear thinning and shear thickening cases, the flow over a plate has lesser skin friction factor. The nanoparticle concentration and density of motile microorganism decrease in both the shear thinning and shear thickening cases, for increasing values of Brownian motion (Nb), but reverse trend is observed for rising values of thermophoresis parameter (Nt). Furthermore, it is observed that, as we increase the values of suction/injection parameter (S), the velocity of fluid increases but decreases the fluid temperature, concentration of mass and density of motile organisms over a plate, wedge, and stagnation point of a flat plate. Also, we observed that shear thinning nanofluid has higher rate of heat, mass, and motile microorganisms mass transfers than shear thickening fluid. Both shear thinning and thickening nanofluid have a low rate of heat/mass and gyrotactic microorganisms mass transfer over plate among wedge and stagnation point flow.

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Section: Formulation Of Flow Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Numerical Study of MHD Carreau Nanofluid Flow with Gyrotactic Microorganisms over a Plate, Wedge, and Stagnation Point

Muntazir

Mushtaq

Jabeen

2021

Mathematical Problems in Engineering

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“…e model 8-10 is solved by using semianalytical techniques such as HAM [13], VIM [39,40], and ADM [40] along with Pade approximation [39,40].…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…ese standard techniques are strongly effective, reliable, and convenient in the literature and can be applicable directly on linear and nonlinear equations. Although, for their closed form solution while dealing with the unbounded domain, the Pade approximation has been considered [39,40].…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…e purpose of the current study is to discuss the comparative impact of MHD flow [27][28][29][30] of Newtonian, Maxwell, Williamson, and Casson fluids under the effects of internal heat source/sink, thermal radiation, chemical reaction, and thermophoretic velocity [31][32][33][34][35][36] on the momentum and heat and mass transfer over a stretching sheet with permeability effects [37][38][39][40][41].…”

Section: Introductionmentioning

confidence: 99%

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Analysis of MHD Fluids around a Linearly Stretching Sheet in Porous Media with Thermophoresis, Radiation, and Chemical Reaction

Jabeen

Mushtaq

Muntazir

2020

Mathematical Problems in Engineering

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This paper presents the comparative analysis of MHD boundary layer fluid flow around a linearly stretching surface in the presence of radiative heat flux, heat generation/absorption, thermophoresis velocity, and chemical reaction effects in a permeable surface. The governing equations are highly nonlinear PDEs which are converted into coupled ODEs with the help of dimensionless variables and solved by using semianalytical techniques. The numerical and graphical outcomes are observed and presented via tables and graphs. Also, the Nusselt and Sherwood numbers and skin friction coefficient are illustrated by tables. On observation of heat and mass transfer, it was noticed that Maxwell fluid dominates the other fluids such as Newtonian, Williamson, and Casson fluid due to high rate of thermal conductivity, and hence, Maxwell fluid has better tendency for heat and mass transfer than other Newtonian and non-Newtonian fluids.

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A two‐component modeling for free stream velocity in magnetohydrodynamic nanofluid flow with radiation and chemical reaction over a stretching cylinder

Vinita

Poply²,

Devi

2020

Heat Trans

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This analysis explores the influence of magnetohydrodynamic (MHD) nanofluid flow over a stretching cylinder with radiation effect in presence of chemically reactive species. The thermal radiation phenomenon is incorporated in the temperature equation. The mathematical modeling of the physical problem produces nonlinear set of partial differential equations corresponding to the momentum and energy equations that can be transformed into simultaneous system of ordinary differential equations with appropriate boundary conditions by applying similarity transformations. Shooting technique is used to solve the molded equations after adoption of Runge–Kutta–Fehlberg approach and ODE45 solver in MATLAB. A parametric analysis has been carried out to investigate the impacts of physical parameters that are considered in the current study. The attractive pattern studied the consequence of Brownian motion along with thermophoresis parameter. The outcomes of prominent fluid parameters, especially heat radiation, Lewis number, free stream velocity, chemical reaction, thermophoresis, and Brownian motion on the concentration, temperature, as well as velocity have been examined and are displayed through graphs and tables. The present study reveals that the temperature phenomenon enhances with an increase in radiation parameter, while nanoparticle concentration phenomenon reduces with an increase in chemical reaction parameter.

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Analysis of the MHD Boundary Layer Flow over a Nonlinear Stretching Sheet in a Porous Medium Using Semianalytical Approaches

Cited by 33 publications

References 14 publications

A Numerical Study of MHD Carreau Nanofluid Flow with Gyrotactic Microorganisms over a Plate, Wedge, and Stagnation Point

A Numerical Study of MHD Carreau Nanofluid Flow with Gyrotactic Microorganisms over a Plate, Wedge, and Stagnation Point

Analysis of MHD Fluids around a Linearly Stretching Sheet in Porous Media with Thermophoresis, Radiation, and Chemical Reaction

A two‐component modeling for free stream velocity in magnetohydrodynamic nanofluid flow with radiation and chemical reaction over a stretching cylinder

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