MHD Heat and Mass Transfer Flow Over a Stretching Wedge with Convective Boundary Condition and Thermophoresis

Nagendramma,; Sreelakshmi, K.; Sarojamma, G.

doi:10.1016/j.proeng.2015.11.444

Cited by 20 publications

(14 citation statements)

References 10 publications

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“…Here, is measured from the tip of the wedge, is the Falkner-Skan power-law parameter, and = 2 /(1 + ) is the Hartree pressure gradient parameter corresponding to = Ω/ for the total angle Ω of the wedge (see Figure 1). Physically, < 0 corresponding to an adverse pressure gradient (often resulting in boundary layer separation) while > 0 represents favorable pressure gradient (Nagendramma et al [1]). In the Blasius solution = 0 corresponding to an angle of attack of zero radians, where = 1 corresponding to stagnation point flow.…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…Fluid flows with convective heat and mass transfer over a wedge shaped bodies is ensured in many thermal engineering applications like crude oil extraction, geothermal systems, thermal insulation, heat exchangers, and the storage of nuclear waste, Nagendramma et al [1]. A model of steady laminar fluid flow over a wedge has developed for the first time by Falkner and Skan [2] to illustrate the application of Prandtl's boundary layer theory.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Mathematical Formulationmentioning

confidence: 99%

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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“…Fluid flows with heat and mass transfer over a wedge shaped bodies is happened in many thermal engineering applications such as heat exchangers, crude oil extraction, thermal insulation, geothermal systems and the storage of nuclear waste [6][7]. In recent times, boundary layer flow of heat and mass transfer of nanofluids over a wedge has become a current topic of interest.…”

Section: Introductionmentioning

confidence: 99%

Numerical Analysis of Heat and Mass Transfer Flow of Nanofluid over a Moving Wedge Using Spectral Quasilinearization Method

Tulu¹,

Ibrahim²

2019

IJAMTP

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In this paper the problem of unsteady two-dimensional heat and mass transfer flow of nanofluid past a moving wedge is considered. The effects of nanoparticle volume fraction, viscous dissipation, chemical reaction, and convective boundary conditions are studied. The physical problem is modeled using partial differential equations. Using suitable similarity variables, the governing equations and their related boundary conditions are transformed into dimensionless forms of a system of coupled nonlinear ordinary differential equations. The resulting systems of equations are then solved numerically using spectral quasilinearization method (SQLM). The results reveal that the skin friction coefficient increases with increasing the values of nanoparticle volume fraction, unsteadiness and permeability parameters. The local Nusselt number reduces with increasing the value of nanoparticle volume fraction, Prandtl number and Eckert number. The local Sherwood number enhances with greater the value of nanoparticle volume fraction, unsteadiness, pressure gradient and chemical reaction parameters. Moreover, the method is checked against the previously published results and a very good agreement have been obtained.

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“…In recent years, a lot of interest has been focused on studying the problem of incompressible steady viscous flow over a non-isothermal wedge because of its wide practical applications in technological processes such as design for power generators, design for cooling of nuclear reactors, construction of heat exchangers, and blood flow measurement techniques [1]. Chamkha et al [2] investigated the steady magneto-hydrodynamic (MHD) forced convective boundary layer flow of a Newtonian, electrically conducting and heat generating/absorbing fluid over a non-isothermal wedge in the presence of thermal radiation effects.…”

Section: Introductionmentioning

confidence: 99%

“…C ∞ -concentration far away from the wedge (-) ∆C -concentration difference (= C w − C ∞ ) (-) C f , x -local skin friction coefficient = f (0) (n + 1)/2Re x (-) C P -specific heat at constant pressure (J kg −1 K −1 ) D -concentration diffusion coefficient (m 2 s −1 ) Ec -Eckert number = u 2 w (x)/C P (T w − T ∞ ) (-) f -dimensionless stream-function = ψ(x, y) (n + 1)/(2νxu w ) (-) f -dimensionless velocity variable (= u/u w (x)) (-) k -thermal conductivity (W m −1 K −1 ) l 1 -temperature jump coefficient (m −1 ) n -exponent of stretching velocity of the wedge (-) Nu x -local Nusselt number = −θ (0) (n + 1)Re x /2 (-) N s -entropy generation number (-) (N s ) th -entropy generation due to heat transfer (-) N fr -entropy generation due to fluid friction (-) -suction/injection velocity along y-axis x -x-axis aligned along the stretching wedge (m) y -y-axis aligned normal to the stretching wedge (m) Greek symbols α -thermal diffusivity (m 2 s −1 ) β -wedge angle parameter (= 2n/(n + 1)) (-) γ -chemical reaction rate parameter (= 2κx/[(n + 1)u w ] ) (-) ε -dimensionless constant parameter (= (RDC ∞ )/k) (-) η -similarity variable = y (n + 1)u w /(2νx) (-) θ -dimensionless temperature variable (= (T − T ∞ )/(T w − T ∞ ) ) (-) λ -velocity ratio parameter (= a/c) (-)…”

mentioning

confidence: 99%

Second Law Analysis of Flow, Heat and Mass Transfer Past a Nonlinearly Stretching Permeable Wedge with Temperature Jump and Chemical Reaction

Dalir¹

2016

Archive of Mechanical Engineering

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Second law analysis (entropy generation) for the steady two-dimensional laminar forced convection flow, heat and mass transfer of an incompressible viscous fluid past a nonlinearly stretching porous (permeable) wedge is numerically studied. The effects of viscous dissipation, temperature jump, and first-order chemical reaction on the flow over the wedge are also considered. The governing boundary layer equations for mass, momentum, energy and concentration are transformed using suitable similarity transformations to three nonlinear ordinary differential equations (ODEs). Then, the ODEs are solved by using a Keller's box algorithm. The effects of various controlling parameters such as wedge angle parameter, velocity ratio parameter, suction/injection parameter, Prandtl number, Eckert number, temperature jump parameter, Schmidt number, and reaction rate parameter on dimensionless velocity, temperature, concentration, entropy generation number, and Bejan number are shown in graphs and analyzed. The results reveal that the entropy generation number increases with the increase of wedge angle parameter, while it decreases with the increase of velocity ratio parameter. Also, in order to validate the obtained numerical results of the present work, comparisons are made with the available results in the literature as special cases, and the results are found to be in a very good agreement.Nomenclature a -coefficient of fluid velocity outside boundary layer (m 1−n s −1 ) c -stretching rate of the wedge (m 1−n s −1 ) Be -Bejan number (-) Br -Brinkman number = µu 2 w (x)/(k∆T ) (-) C -concentration (-) C w -concentration at the wedge surface (-)

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MHD Heat and Mass Transfer Flow Over a Stretching Wedge with Convective Boundary Condition and Thermophoresis

Cited by 20 publications

References 10 publications

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

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

Numerical Analysis of Heat and Mass Transfer Flow of Nanofluid over a Moving Wedge Using Spectral Quasilinearization Method

Second Law Analysis of Flow, Heat and Mass Transfer Past a Nonlinearly Stretching Permeable Wedge with Temperature Jump and Chemical Reaction

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