Hydromagnetic slip flow of water based nanofluids past a wedge with convective surface in the presence of heat generation (or) absorption

Rahman, M.M.; Al‐Lawatia, Mohamed; Eltayeb, I. A.; Al-Salti, Nasser

doi:10.1016/j.ijthermalsci.2012.02.016

Cited by 86 publications

(45 citation statements)

References 44 publications

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“…Following Roşca and Pop [23] and Rahman et al [24][25][26][27][28], the system of ordinary differential equations (6-7) subject to boundary conditions (8) was solved numerically using the function bvp4c from MATLAB for representative values of the dimensionless parameters. Since there is almost no experimental data, the choice of the values of the parameters was dictated by the values chosen by previous investigators.…”

Section: Numerical Techniquementioning

confidence: 99%

Mixed convection boundary-layer flow past a vertical flat plate with a convective boundary condition

2015

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The mixed convection boundary-layer flow on a vertical surface with an applied convective boundary condition is considered. Specific forms for the outer flow and surface heat transfer parameter are taken to reduce the problem a similarity system, which is seen to involve three parameters: m, the exponent of the outer flow; λ, the mixed convection parameter and B, the Biot number, as well as the Prandtl number. m = 1 5 is found to be a transitional case with different behaviour depending on whether m > 1 5 or m < 1 5 . For m > 1 5 , there is a critical value λ c with solutions only for λ ≥ λ c , a range of values of λ where there are dual solutions and the upper solution branch continuing into aiding flow. For 0 < m < 1 5 , there is a value of B where there is a change in behaviour from that seen for m > 1 5 to solutions terminating at a finite value of λ > 0 and continuing to large values of |λ|. For m = 0 (uniform outer flow) only this latter behaviour is seen to arise. When m < 0, though still in the range when there is a solution to the Falkner-Skan, λ = 0, problem, the behaviour is similar to that seen for m > 1 5 .

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Section: Numerical Techniquementioning

confidence: 99%

Mixed convection boundary-layer flow past a vertical flat plate with a convective boundary condition

2015

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“…Ganapathirao and Ravindran [29] investigated the suction/injunction effect on 2D MHD steady flow with the chemical reaction along with mixed convection. Rahman et al [30] and Srinivasacharya et al [31] deliberated the impression of heat generation/absorption on 2D nanofluid flow and reported that the Nusselt number was enhanced with large values of the Biot number and the slip parameter. Hameed et al [32] investigated the combined magnetohydrodynamic and electric field effect on an unsteady Maxwell nanofluid flow over a stretching surface under the influence of variable heat and thermal radiation.…”

Section: Introductionmentioning

confidence: 99%

The Rotating Flow of Magneto Hydrodynamic Carbon Nanotubes over a Stretching Sheet with the Impact of Non-Linear Thermal Radiation and Heat Generation/Absorption

et al. 2018

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Abstract:The aim of this research work is to investigate the innovative concept of magnetohydrodynamic (MHD) three-dimensional rotational flow of nanoparticles (single-walled carbon nanotubes and multi-walled carbon nanotubes). This flow occurs in the presence of non-linear thermal radiation along with heat generation or absorption based on the Casson fluid model over a stretching sheet. Three common types of liquids (water, engine oil, and kerosene oil) are proposed as a base liquid for these carbon nanotubes (CNTs). The formulation of the problem is based upon the basic equation of the Casson fluid model to describe the non-Newtonian behavior. By implementing the suitable non-dimensional conditions, the model system of equations is altered to provide an appropriate non-dimensional nature. The extremely productive Homotopy Asymptotic Method (HAM) is developed to solve the model equations for velocity and temperature distributions, and a graphical presentation is provided. The influences of conspicuous physical variables on the velocity and temperature distributions are described and discussed using graphs. Moreover, skin fraction coefficient and heat transfer rate (Nusselt number) are tabulated for several values of relevant variables. For ease of comprehension, physical representations of embedded parameters such as radiation parameter (Rd), magnetic parameter (M), rotation parameter (K), Prandtl number (Pr), Biot number (λ), and heat generation or absorption parameter (Q h ) are plotted and deliberated graphically.

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“…However, the role of nanofluid (regular fluid containing nanoparticles) on the flow and heat transfer processes is of major significance in the design of many advanced energy conversion systems. Rahman et al [13] investigated the heat transfer characteristics of a two-dimensional steady MHD slip flow of water based nanofluids (TiO 2 -water, Al 2 O 3 -water, and Cu-water) over a wedge with convective surface taking into account the effects of heat generation/absorption. They obtained the local similarity solutions, and showed that the rate of shear stress is significantly influenced by the surface convection parameter and the slip parameter.…”

Section: Introductionmentioning

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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Hydromagnetic slip flow of water based nanofluids past a wedge with convective surface in the presence of heat generation (or) absorption

Cited by 86 publications

References 44 publications

Mixed convection boundary-layer flow past a vertical flat plate with a convective boundary condition

Mixed convection boundary-layer flow past a vertical flat plate with a convective boundary condition

The Rotating Flow of Magneto Hydrodynamic Carbon Nanotubes over a Stretching Sheet with the Impact of Non-Linear Thermal Radiation and Heat Generation/Absorption

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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