MHD flow and heat transfer for the upper-convected Maxwell fluid over a stretching sheet

Abel, M. Subhas; Tawade, Jagadish V.; Nandeppanavar, Mahantesh M.

doi:10.1007/s11012-011-9448-7

Cited by 197 publications

(33 citation statements)

References 24 publications

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“…Moreover, they are unable to predict the effects of stress relaxation. Maxwell model, a subclass of rate type fluids, can predict the stress relaxation and therefore, have become more popular (Sadeghy et al [17], Abel et al [18]). This model excludes the complicating effects of shear-dependent viscosity from any boundary layer analysis and enables one to focus solely on the effects of a fluid's elasticity on the characteristics of its boundary layer (Heyhat and Khabazi [19]).…”

Section: Introductionmentioning

confidence: 99%

Unsteady flow of a Maxwell fluid over a stretching surface in presence of chemical reaction

Mukhopadhyay

Bhattacharyya

2012

Journal of the Egyptian Mathematical Society

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An analysis is presented for unsteady two-dimensional flow of a Maxwell fluid over a stretching surface in presence of a first order constructive/destructive chemical reaction. Using suitable transformations, the governing partial differential equations are converted to ordinary one and are then solved numerically by shooting method. The flow fields and mass transfer are significantly influenced by the governing parameters. Fluid velocity initially decreases with increasing unsteadiness parameter and concentration decreases significantly due to unsteadiness. The effect of increasing values of the Maxwell parameter is to suppress the velocity field. But the concentration is enhanced with increasing Maxwell parameter.

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Section: Introductionmentioning

confidence: 99%

Unsteady flow of a Maxwell fluid over a stretching surface in presence of chemical reaction

Mukhopadhyay

Bhattacharyya

2012

Journal of the Egyptian Mathematical Society

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“…Due to the relationship between dynamic viscosity, exponentially internal heat source and free stream temperature of UCM fluid as stated in the first term of Equation (18). Using Equation (19) and second term of Equation (18), it is easy to obtain…”

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confidence: 99%

Heat and Mass Transfer of Upper Convected Maxwell Fluid Flow with Variable Thermo-Physical Properties over a Horizontal Melting Surface

Adegbie¹,

Omowaye²,

Disu³

et al. 2015

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The objective of this article is to present the dynamics of an Upper Convected Maxwell (UCM) fluid flow with heat and mass transfer over a melting surface. The influence of melting heat transfer, thermal and solutal stratification are properly accounted for by modifying the classical boundary conditions of temperature and concentration respectively. It is assumed that the ratio of inertia forces to viscous forces is high enough for boundary layer approximation to be valid. The corresponding influence of exponential space dependent internal heat source on viscosity and thermal conductivity of UCM is properly considered. The dynamic viscosity and thermal conductivity of UCM are temperature dependent. Classical temperature dependent viscosity and thermal conductivity models were modified to suit the case of both melting heat transfer and thermal stratification. The governing non-linear partial differential equations describing the problem are reduced to a system of nonlinear ordinary differential equations using similarity transformations and completed the solution numerically using the Runge-Kutta method along with shooting technique. For accurate and correct analysis of the effect of variable viscosity on fluid flow in which (Tw or Tm)

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“…B0 is the strength of the magnetic field, υ is the kinematic viscosity of the fluid. Under these assumptions, along with the boundary-layer approximations, the governing equation of mass, momentum, thermal energy and concentration of steady, laminar boundary-layer flow of a nanofluid past a stretching sheet is given by Abel et al (2012) as:…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…The knowledge of heat transfer of non-Newtonian fluids over a stretching sheet is crucial in understanding the coating process and the design of various heat exchangers and chemical-processing equipment. The comprehensive review of literature on boundary layer flow and heat transfer of nonNewtonian fluids are given in the references Hady et al (2011);Abel et al (2012); Hsiao (2011); Mahapatra and Gupta (2002); Hayat et al (2012b); Kumari et al (2010).…”

Section: Introductionmentioning

confidence: 99%

Magnetohydrodynamic(mhd) Stagnation Point Flow and Heat Transfer of Upper-Convected Maxwell Fluid Past a Stretching Sheet in the Presence of Nanoparticles With Convective Heating

Ibrahim¹

2016

Frontiers in Heat and Mass Transfer

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The study scrutinizes the effect of convective heating on magnetohydrodynamic (MHD) stagnation point flow and heat transfer of upper-convected Maxell fluid p ast a s tretching s heet i n t he p resence o f n anoparticles. T he m odel u sed i n t he s tudy i ncludes t he e ffect o f B rownian m otion and thermophoresis parameters. The non-linear governing equations and their boundary conditions are initially cast into dimensionless forms by similarity transformation. The resulting system of equations is then solved numerically using fourth order Runge-Kutta method along with shooting technique. Numerical results are obtained for velocity, temperature, concentration profiles, skin friction coefficient, local Nusselt number and Sherwood number. It is found that the skin friction coefficient, the local Nusselt number and Sherwood number increase with an increase in A and β and decreases as the values of M increase. Moreover, the local Nusselt number -θ (0) and local Sherwood number -φ (0) increases with an increase in Bi.

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MHD flow and heat transfer for the upper-convected Maxwell fluid over a stretching sheet

Cited by 197 publications

References 24 publications

Unsteady flow of a Maxwell fluid over a stretching surface in presence of chemical reaction

Unsteady flow of a Maxwell fluid over a stretching surface in presence of chemical reaction

Heat and Mass Transfer of Upper Convected Maxwell Fluid Flow with Variable Thermo-Physical Properties over a Horizontal Melting Surface

Magnetohydrodynamic(mhd) Stagnation Point Flow and Heat Transfer of Upper-Convected Maxwell Fluid Past a Stretching Sheet in the Presence of Nanoparticles With Convective Heating

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