Simulations for Maxwell fluid flow past a convectively heated exponentially stretching sheet with nanoparticles

Mustafa, M.; Khan, Jawad; Hayat, T.; Alsaedi, Ahmed

doi:10.1063/1.4916364

Cited by 62 publications

(33 citation statements)

References 44 publications

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“…All graphs and tables as therefore correspond to these values unless otherwise stated. [27] in the case of a regular fluid is made numerically and presented in Tab.2. The results are in excellent agreement.…”

Section: Resultsmentioning

confidence: 99%

“…The x-axis is directed along the continuous stretching surface and points in the direction of the fluid motion while the y-axis is perpendicular to the surface. The flow is confined to y 0  (See Fig.1) [27,31]. Here, the effect of the induced magnetic field is neglected .…”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…We assume that the surface of the sheet is heated by convection from a hot fluid placed at the bottom of the sheet at temperature f T and concentration f C with heat and mass transfer coefficients 1 h and 2 h . The equations governing such type of flow are written as [16,27,28,32] …”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…al. [27] only for a limited range of physical parameters by assuming max 2   . It is not surprising that their results are limited to only special parameters that are consistent with max 2   .…”

Section: Introductionmentioning

confidence: 99%

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Effects of Heat Source/Sink and Chemical Reaction on MHD Maxwell Nanofluid Flow Over a Convectively Heated Exponentially Stretching Sheet Using Homotopy Analysis Method

Sravanthi

Gorla

2018

International Journal of Applied Mechanics and Engineering

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The aim of this paper is to study the effects of chemical reaction and heat source/sink on a steady MHD (magnetohydrodynamic) two-dimensional mixed convective boundary layer flow of a Maxwell nanofluid over a porous exponentially stretching sheet in the presence of suction/blowing. Convective boundary conditions of temperature and nanoparticle concentration are employed in the formulation. Similarity transformations are used to convert the governing partial differential equations into non-linear ordinary differential equations. The resulting non-linear system has been solved analytically using an efficient technique, namely: the homotopy analysis method (HAM). Expressions for velocity, temperature and nanoparticle concentration fields are developed in series form. Convergence of the constructed solution is verified. A comparison is made with the available results in the literature and our results are in very good agreement with the known results. The obtained results are presented through graphs for several sets of values of the parameters and salient features of the solutions are analyzed. Numerical values of the local skin-friction, Nusselt number and nanoparticle Sherwood number are computed and analyzed.

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Section: Resultsmentioning

confidence: 99%

Section: Formulation Of the Problemmentioning

confidence: 99%

Section: Formulation Of the Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Effects of Heat Source/Sink and Chemical Reaction on MHD Maxwell Nanofluid Flow Over a Convectively Heated Exponentially Stretching Sheet Using Homotopy Analysis Method

Sravanthi

Gorla

2018

International Journal of Applied Mechanics and Engineering

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“…Cortell 16 performed numerical analysis of boundary layer flow induced by continuous stretching velocity u w (x) ∼ x 1/3 with radiation effect. Mustafa et al 17 addressed a steady flow of Maxwell nanofluid induced by an exponentially stretching sheet subjected to convective heating, and Sharada…”

Section: Introductionmentioning

confidence: 99%

Mixed convection Jeffrey fluid flow over an exponentially stretching sheet with magnetohydrodynamic effect

2016

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The steady two-dimensional MHD mixed convection boundary layer flow and heat transfer of a Jeffrey fluid over an exponentially stretched plate is investigated. The governing partial differential equations are first reduced to nonlinear ordinary differential equations, before being solved numerically using an implicit finite difference scheme. Local similarity solutions are obtained for some embedded parameters, such as Deborah number β, mixed convection parameter λ, Prandtl number Pr and Hartmann number H, are analyzed and discussed.

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A model for entropy generation in stagnation‐point flow of non‐Newtonian Jeffrey, Maxwell, and Oldroyd‐B nanofluids

Almakki

Nandy²,

Mondal

et al. 2018

Heat Trans. Asian Res.

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We present a generalized model to describe the flow of three non‐Newtonian nanofluids, namely, Jeffrey, Maxwell, and Oldroyd‐B nanofluids. Using this model, we study entropy generation and heat transfer in laminar nanofluid boundary‐layer stagnation‐point flow. The flow is subject to an external magnetic field. The conventional energy equation is modified by the incorporation of nanoparticle Brownian motion and thermophoresis effects. A hydrodynamic slip velocity is used in the initial condition as a component of the stretching velocity. The system of nonlinear equations is solved numerically using three different methods, a spectral relaxation method, spectral quasilinearization method, and the spectral local linearization method, first to determine the most accurate of these methods, and second as a measure to validate the numerical simulations. The residual errors for each method are presented. The numerical results show that the spectral relaxation method is the most accurate of the three methods, and this method is used subsequently to solve the transport equations and thus to determine the empirical impact of the physical parameters on the fluid properties and entropy generation.

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Simulations for Maxwell fluid flow past a convectively heated exponentially stretching sheet with nanoparticles

Cited by 62 publications

References 44 publications

Effects of Heat Source/Sink and Chemical Reaction on MHD Maxwell Nanofluid Flow Over a Convectively Heated Exponentially Stretching Sheet Using Homotopy Analysis Method

Effects of Heat Source/Sink and Chemical Reaction on MHD Maxwell Nanofluid Flow Over a Convectively Heated Exponentially Stretching Sheet Using Homotopy Analysis Method

Mixed convection Jeffrey fluid flow over an exponentially stretching sheet with magnetohydrodynamic effect

A model for entropy generation in stagnation‐point flow of non‐Newtonian Jeffrey, Maxwell, and Oldroyd‐B nanofluids

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