An analytical treatment for the exact solutions of MHD flow and heat over two–three dimensional deforming bodies

Türkyılmazoğlu, Mustafa

doi:10.1016/j.ijheatmasstransfer.2015.07.025

Cited by 62 publications

(11 citation statements)

References 76 publications

(122 reference statements)

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“…A brief description on the numerical approach used for the solution of the above nonlinear, nondimensional, and coupled ODEs (8)-(11) along with the boundary conditions (12) has been presented in this section. The nonlinear systems of equations are tackled with aid of well known numerical technique, namely, the shooting method.…”

Section: Solution Methodologymentioning

confidence: 99%

“…Garoosi et al [11] reported the combined convection and naturally convective heat transfer between heated cylinders of differential length filled with nanofluid. Turkyilmazoglu [12] investigated mathematically MHD fluid flow through porous surface with heat involvement persuaded by stretching or shrinking sheet for the two and three dimensional deformed objects. Boungiorno [13] worked on convective dynamics of nanofluids by taking Brownian diffusion and established the unnatural convective heat transfer viewed in nanofluids.…”

Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

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A Computational Analysis of Two‐Phase Casson Nanofluid Passing a Stretching Sheet Using Chemical Reactions and Gyrotactic Microorganisms

Sabir

Akhtar

Zhu

et al. 2019

Mathematical Problems in Engineering

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In this study, an attempt is made to explore the two-phase Casson nanofluid passing through a stretching sheet along a permeable surface with the effects of chemical reactions and gyrotactic microorganisms. By utilizing the strength of similarity transforms the governing PDEs are transformed into set of ODEs. The resulting equations are handled by using a proficient numerical scheme known as the shooting technique. Authenticity of numerical outcomes is established by comparing the achieved results with the MATLAB built-in solver bvp4c. The numerical outcomes for the reduced Nusselt number and Sherwood number are exhibited in the tabular form, while the variations of some crucial physical parameters on the velocity, temperature, and concentration profiles are demonstrated graphically. It is observed that Local Nusselt number rises with the enhancement in the magnetic field parameter, the porous media parameter, and the chemical reactions, while magnetic field parameter along with porous media parameter retards the velocity profile.

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Section: Solution Methodologymentioning

confidence: 99%

Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

A Computational Analysis of Two‐Phase Casson Nanofluid Passing a Stretching Sheet Using Chemical Reactions and Gyrotactic Microorganisms

Sabir

Akhtar

Zhu

et al. 2019

Mathematical Problems in Engineering

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“…We obtain the solution for f pζq from solving Equation (31) and Equations (10) and (11) are now linear; therefore we will apply Chebyshev pseudo-spectral method directly, and by doing so we get BH " S,…”

Section: Methodsmentioning

confidence: 99%

“…He also presented multiple solutions for the non-MHD stretching plate problem. A few recent studies on MHD can be found in [31][32][33][34], with a few additional studies referenced therein. According to the best of our knowledge, no such attempt has been made on studying entropy generation of a MHD Eyring-Powell fluid through a permeable stretching sheet.…”

Section: Introductionmentioning

confidence: 99%

Entropy Generation on MHD Eyring–Powell Nanofluid through a Permeable Stretching Surface

Bhatti

Abbas

Rashidi

et al. 2016

Entropy

130

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Abstract:In this article, entropy generation of an Eyring-Powell nanofluid through a permeable stretching surface has been investigated. The impact of magnetohydrodynamics (MHD) and nonlinear thermal radiation are also taken into account. The governing flow problem is modeled with the help of similarity transformation variables. The resulting nonlinear ordinary differential equations are solved numerically with the combination of the Successive linearization method and Chebyshev spectral collocation method. The impact of all the emerging parameters such as Hartmann number, Prandtl number, radiation parameter, Lewis number, thermophoresis parameter, Brownian motion parameter, Reynolds number, fluid parameter, and Brinkmann number are discussed with the help of graphs and tables. It is observed that the influence of the magnetic field opposes the flow. Moreover, entropy generation profile behaves as an increasing function of all the physical parameters.

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“…Usman et al have analyzed the 3D flow, heat, and mass transfer in a channel of lower stretching wall by using influences of slip, magnetic field, and thermal radiations. Turkyilmazzoglu studied the exact solution of 2D/3D deforming bodies on MHD flow by using an analytical method and also Selimefendigil and Oztop investigate corrugated conductive partition effects on MHD free convection of CNT‐water nanofluid in a cavity. In addition, Zohra et al presented a simulation of smart electro conductive bionano polymer processing wedge geometry under bioconvective electromagnetic nanofluid transport.…”

Section: Introductionmentioning

confidence: 99%

Tangent hyperbolic nanofluid with mixed convection flow: An application of improved Fourier and Fick's diffusion model

Ibrahim

Gizewu

2019

Heat Trans. Asian Res.

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This article presents a tangent hyperbolic fluid with the effect of the combination of forced and natural convection flow of nanoparticle past a bidirectional extending surface. Modified Fick's and Fourier's diffusion theories are incorporated into concentration and energy equations, respectively. Convective boundary conditions and second-order slip flow are taken in the boundary condition. Nonlinear partial differential equations result after boundary layer approximations of the mathematical formulation of the flow problem. Nonlinear high order ordinary differential equations (ODEs) are formed by applying similarity transformation on the nonlinear partial differential equations. The transformed equations are solved with the bvp4c algorithm from Matlab. The numerical solution of ODEs was obtained and the effect of interesting parameters, dimensionless velocity com-ponent along x-and y-axis, temperature, and concentration particle, Re x , Re y , Nu x , and Sh x , were presented through tables and graphs and discussed thoroughly. The results indicated that a decrease in velocity along with the y-axis results from the increasing behavior of S, M, and n. Decrease in both temperature and concentration results in an increase of α but their elongation is a result of increase in Bi. An increase in concentration results in decrease of N and S but a decrease in concentration results in the widening of Sc, Nb, and λ. Furthermore, enlargement of f − ″(0) and g − ″(0) results in increase of α and modules γ and elongation of both f − ″(0) and g − ″(0) results in increase of δ e and (Sc and Nb), respectively. A comparison with previously published literature was performed and a good agreement was found. K E Y W O R D S Cattaneo-Christov heat flux model, mixed convection, nanofluid, second-order slip, tangent hyperbolic fluid, three-dimension flow

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An analytical treatment for the exact solutions of MHD flow and heat over two–three dimensional deforming bodies

Cited by 62 publications

References 76 publications

A Computational Analysis of Two‐Phase Casson Nanofluid Passing a Stretching Sheet Using Chemical Reactions and Gyrotactic Microorganisms

A Computational Analysis of Two‐Phase Casson Nanofluid Passing a Stretching Sheet Using Chemical Reactions and Gyrotactic Microorganisms

Entropy Generation on MHD Eyring–Powell Nanofluid through a Permeable Stretching Surface

Tangent hyperbolic nanofluid with mixed convection flow: An application of improved Fourier and Fick's diffusion model

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