MHD effect of mixed convection boundary-layer flow of Powell-Eyring fluid past nonlinear stretching surface

Panigrahi, Satyaban; Reza, Motahar; Mishra, Akshaya

doi:10.1007/s10483-014-1888-6

Cited by 19 publications

(6 citation statements)

References 29 publications

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“…On the other hand, mass fluxes are made by temperature gradients is called Soret or thermal diffusion effect. Recently the effects of Soret and Dufour are considered to investigate the various interesting problems, Qasim, et al (2014), S. Panigrahi, et al (2014), T. Hayat et al (2014).…”

Section: Frontiers In Heat and Mass Transfermentioning

confidence: 99%

Steady-State Transport Phenomena on Induced Magnetic Field Modellinf for Non-Newtonian Tangent Hyperbolic Fluid From an Isothermal Sphere With Soret and Dufour Effects

Rao¹,

Nagaraja²,

Reddy³

et al. 2017

Frontiers in Heat and Mass Transfer

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This article investigates the theoretical steady magneto hydrodynamic heat flow of incompressible non-Newtonian Tangent Hyperbolic fluid flow over a sphere with Soret and Dufour effects. The governing coupled non-linear partial differential equations are reduced to non-similarity boundary layer equations using appropriate transformation and then solved using the finite difference Keller-Box method. The effect of various flow parameters on the velocity, temperature and concentration are analyzed and presented graphically.

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Section: Frontiers In Heat and Mass Transfermentioning

confidence: 99%

Steady-State Transport Phenomena on Induced Magnetic Field Modellinf for Non-Newtonian Tangent Hyperbolic Fluid From an Isothermal Sphere With Soret and Dufour Effects

Rao¹,

Nagaraja²,

Reddy³

et al. 2017

Frontiers in Heat and Mass Transfer

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“…Recently, Saleem and Abd El-Aziz (2019) investigated the entropy generation of power-law fluid over an exponentially stretching surface in the presence of a variable magnetic field, velocity slip and radiation by using Runge–Kutta–Fehlberg method with the shooting technique. Some other important contributions regarding the boundary-layer flow with heat transfer analysis can be found in references (Magyari and Keller, 1999; Elbashbeshy, 2001; Sahoo and Poncet, 2011; Mukhopadhyay et al , 2014; Sajid and Hayat, 2008; Panigrahi et al , 2014; Hayat et al , 2015; Madhu et al , 2016; Ullah et al , 2016; Kumaran et al , 2017; Gaffar et al , 2017; Khan and Azam, 2017; Rehman et al , 2018).…”

Section: Introductionmentioning

confidence: 99%

Hall effects on radiated magneto-power-law fluid flow over a stretching surface with power-law velocity slip effect

Ali¹,

Jana

Das

2020

MMMS

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PurposeThis paper aims to assess the effectiveness of Hall currents and power-law slip condition on the hydromagnetic convective flow of an electrically conducting power-law fluid over an exponentially stretching sheet under the effect of a strong variable magnetic field and thermal radiation. Flow formation is developed using the rheological expression of a power-law fluid.Design/methodology/approachThe nonlinear partial differential equations describing the flow are transformed into the nonlinear ordinary differential equations by employing the local similarity transformations and then solved numerically by an effective numerical approach, namely, fourth-order Runge–Kutta integration scheme, along with the shooting iteration technique. The numerical solution is computed for different parameters by using the computational software MATLAB bvp4c. The bvp4c function uses the finite difference code as the default. This method is a fourth-order collocation method. The impacts of thermophysical parameters on velocity and temperature distributions, skin friction coefficients and Nusselt number in the boundary layer regime are exhibited through graphs and tables and deliberated with proper physical justification.FindingsOur investigation conveys that Hall current has an enhancing behavior on velocity profiles and reduces skin friction coefficients. An increase in the power-law index is observed to deplete velocity and temperature evolution. The temperature for the pseudo-plastic (shear-thinning) fluid is relatively higher than the corresponding temperature of the dilatant (shear-thickening) fluid. The streamlines are more distorted and have low intensity near the surface of the sheet for the dilatant fluid than the pseudo-plastic fluid.Social implicationsThe study is pertinent to the expulsion of polymer sheet and photographic films, hydrometallurgical industry, electrically conducting polymer dynamics, magnetic material processing, solutions and melts of polymer processing, purification of molten metals from nonmetallic. The results obtained in this work can be relevant in fluid mechanics and heat transfer applications.Originality/valueThe present problem has, to the authors' knowledge, not communicated thus far in the scientific literature. A comparative study with the published works is conducted to verify the accuracy of the present study. The results obtained in this analysis are significant in providing the standards for validating the accuracies of some numerical or empirical methods.

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“…Recently, Panigrahi et al [46] studied the analytical self-similar solution of the mixed convection flow of a non-Newtonian Powell Eyring fluid over a nonlinear stretching vertical permeable surface in the presence of a magnetic field. Even though considerable progress has been made on flow phenomena over a stretching sheet, still more work is needed to understand the effect of melting involving different non-Newtonian models.…”

Section: Introductionmentioning

confidence: 99%

Melting Heat Transfer and MHD Boundary Layer Flow of Eyring-Powell Nanofluid Over a Nonlinear Stretching Sheet with Slip

Reddy¹,

Kishan

Reddy³

2019

International Journal of Applied Mechanics and Engineering

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The steady laminar incompressible viscous magneto hydrodynamic boundary layer flow of an Eyring- Powell fluid over a nonlinear stretching flat surface in a nanofluid with slip condition and heat transfer through melting effect has been investigated numerically. The resulting nonlinear governing partial differential equations with associated boundary conditions of the problem have been formulated and transformed into a non-similar form. The resultant equations are then solved numerically using the Runge-Kutta fourth order method along with the shooting technique. The physical significance of different parameters on the velocity, temperature and nanoparticle volume fraction profiles is discussed through graphical illustrations. The impact of physical parameters on the local skin friction coefficient and rate of heat transfer is shown in tabulated form.

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MHD effect of mixed convection boundary-layer flow of Powell-Eyring fluid past nonlinear stretching surface

Cited by 19 publications

References 29 publications

Steady-State Transport Phenomena on Induced Magnetic Field Modellinf for Non-Newtonian Tangent Hyperbolic Fluid From an Isothermal Sphere With Soret and Dufour Effects

Steady-State Transport Phenomena on Induced Magnetic Field Modellinf for Non-Newtonian Tangent Hyperbolic Fluid From an Isothermal Sphere With Soret and Dufour Effects

Hall effects on radiated magneto-power-law fluid flow over a stretching surface with power-law velocity slip effect

Melting Heat Transfer and MHD Boundary Layer Flow of Eyring-Powell Nanofluid Over a Nonlinear Stretching Sheet with Slip

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