MHD three-dimensional Casson fluid flow past a porous linearly stretching sheet

Nadeem, Sohail; Haq, Rizwan Ul; Akbar, Noreen Sher; Khan, Zafar Hayat

doi:10.1016/j.aej.2013.08.005

Cited by 321 publications

(178 citation statements)

References 18 publications

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“…22 Cortell 23 modified the problem by taking viscous dissipation effect and variable surface temperature. MHD three-dimensional Casson fluid flow past a porous linearly stretching sheet is examined by Nadeem et al 24 The objective of present investigation is to discuss the boundary layer flow and heat transfer of Carreau model over a non-linear stretching surface. We obtained the boundary layer equations for the velocity field of the Carreau fluid.…”

Section: Introductionmentioning

confidence: 99%

Boundary layer flow and heat transfer to Carreau fluid over a nonlinear stretching sheet

2015

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This article studies the Carreau viscosity model (which is a generalized Newtonian model) and then use it to obtain a formulation for the boundary layer equations of the Carreau fluid. The boundary layer flow and heat transfer to a Carreau model over a nonlinear stretching surface is discussed. The Carreau model, adequate for many non-Newtonian fluids, is used to characterize the behavior of the fluids having shear thinning properties and fluids with shear thickening properties for numerical values of the power law exponent n. The modeled boundary layer conservation equations are converted to non-linear coupled ordinary differential equations by a suitable transformation. Numerical solution of the resulting equations are obtained by using the Runge-Kutta Fehlberg method along with shooting technique. This analysis reveals many important physical aspects of flow and heat transfer. Computations are performed for different values of the stretching parameter (m), the Weissenberg number (We) and the Prandtl number (Pr). The obtained results show that for shear thinning fluid the fluid velocity is depressed by the Weissenberg number while opposite behavior for the shear thickening fluid is observed. A comparison with previously published data in limiting cases is performed and they are in excellent agreement.

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Section: Introductionmentioning

confidence: 99%

Boundary layer flow and heat transfer to Carreau fluid over a nonlinear stretching sheet

2015

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“…Nandy (2013) investigated the hydromagnetic boundary layer flow and heat transfer of a non-Newtonian Casson fluid in the neighborhood of a stagnation point over a stretching sheet in the presence of velocity and thermal slip at the boundary. Nadeem et al (2013) examined magnetohydrodynamic Casson fluid flow in two lateral dimensions past a porous linear stretching sheet. Again, Nadeem et al (2014) studied the steady flow of a Casson fluid in the presence of nanoparticles.…”

Section: Introductionmentioning

confidence: 99%

Unsteady MHD Three-Dimensional Casson Nanofluid Flow Over a Porous Linear Stretching Sheet With Slip Condition

Mondal¹,

Oyelakin²,

Sibanda³

2017

Frontiers in Heat and Mass Transfer

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In this paper we study the effects of thermal radiation, heat and mass transfer on the unsteady magnetohydrodynamic(MHD) flow of a three dimensional Casson nanofluid. The flow is subject to partial slip and convective conditions. The traditional model which includes the effects of Brownian motion and thermophoresis is revised so that the nanofluid particle volume fraction on the boundary is not actively controlled. In this respect the problem is more realistic. The dimensionless governing equations were solved using the spectral quasi-linearisation method. This work aims to fill the gap in existing literature by showing the effects of porosity, magnetic field and stretching ratio parameter on the flow of the Casson Nanofluid model over a porous linearly stretching sheet with the incorporation of the nanoparticles on the concentration boundary condition. It is observed that increase in the unsteadiness of the flow tends to decrease the momentum, thermal and nanoparticles volume fraction profiles. The results are benchmarked with previously published results.

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“…A unique solution is illustrated for linear stretching sheet case, whereas dual solutions exist for the problem of magnetohydrodynamic linear shrinking sheet [33][34][35][36]. MHD Casson uid ows in a system of three-dimensional coordinates related to the stretching sheet in linear velocity, as reported by Nadeem et al [37,38]. A numerical evaluation was carried out on the challenges associated with using the Casson uid ow in a non-Darcy porous medium commencing at a horizontal circular cylinder surrounded by partial slips condition [39][40].…”

Section: Present Address: Centre Of Foundation Studies Formentioning

confidence: 99%

MHD mixed convection boundary layer flow of a Casson fluid bounded by permeable shrinking sheet with exponential variation

et al. 2017

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Abstract. A review was carried out on the exponentially permeable shrinking sheet and how it in uenced the magnetohydrodynamic (MHD) mixed convection boundary layer ow of a Casson uid. The boundary layer equations in the form of partial di erential equations were transformed into the ordinary di erential equations by using the similarity transformation. Subsequently, shooting technique is used to provide solutions for the ordinary di erential equations. Di erent factors related to the ow and heat are indicated by the attained results as well as graphs. Moreover, 4 solutions are presented graphically. Also, the numerical calculations exhibit that the Casson uid parameter, ", buoyancy parameter, , and suction parameter, s, would signi cantly a ect the characteristics of ow and thermal boundary layers of a Casson uid.

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MHD three-dimensional Casson fluid flow past a porous linearly stretching sheet

Cited by 321 publications

References 18 publications

Boundary layer flow and heat transfer to Carreau fluid over a nonlinear stretching sheet

Boundary layer flow and heat transfer to Carreau fluid over a nonlinear stretching sheet

Unsteady MHD Three-Dimensional Casson Nanofluid Flow Over a Porous Linear Stretching Sheet With Slip Condition

MHD mixed convection boundary layer flow of a Casson fluid bounded by permeable shrinking sheet with exponential variation

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