On unsteady MHD mixed convection in a nanofluid due to a stretching/shrinking surface with suction/injection using the spectral relaxation method

Haroun, Nageeb A. H.; Sibanda, Precious; Mondal, Sabyasachi; Motsa, S. S.

doi:10.1186/s13661-015-0289-5

Cited by 47 publications

(27 citation statements)

References 25 publications

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“…Awad et al [46] have studied unsteady motion past an extending sheet in a viscous fluid with chemical reaction and have solved the boundary layer equations by the spectral relaxation method. Recently, Haron et al [47] have applied the spectral relaxation method to the unsteady magneto hydrodynamic combined convective motion of a nanofluid past a stretching/shrinking surface in the presence of a heat source, internal fraction, thermal diffusion, and diffusion thermo effects. In this work we will use the SRM to solve systems of highly nonlinear ordinary differential equations that describe some fluids' motion, transfer of heat, and mass.…”

Section: Spectral Relaxation Methods and Comparisonmentioning

confidence: 99%

Heat and Mass Transfer in a Viscous Nanofluid Containing a Gyrotactic Micro-Organism Over a Stretching Cylinder

et al. 2019

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This work consists of a theoretical boundary layer analysis of heat and mass transport in a viscous fluid-embracing gyrotactic micro-organism over a cylinder. The flow governing equations are modeled through boundary layer approximations. The governing non-linear partial differential equations are lessened to a set of nonlinear ordinary differential equations using similitude transformation. The boundary layer equations are elucidated numerically, applying the spectral relaxation method with the aid of the computational software MATLAB. The impact of several pertinent parameters on flow convective characteristic phenomena are explored through the use of graphs and tables and are discussed with in-depth physical descriptions. In addition, the friction factor, the rate of heat transfer, rate of mass transfer, and the density number of the motile microorganism are also presented with respect to the above controlled parameters. It is noticed that for the increasing values of the magnetic parameter with reductions and enhancements, the density of the motile microorganism is a declining function of, and the concentration field enhances with the strengthening of, whereas it reduces with the rise of. Furthermore, the streamline patters are emphasized for the impact of controlled flow variables. Current outcomes are compared with the available results from previous cases and are observed to be in agreement.

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Section: Spectral Relaxation Methods and Comparisonmentioning

confidence: 99%

Heat and Mass Transfer in a Viscous Nanofluid Containing a Gyrotactic Micro-Organism Over a Stretching Cylinder

et al. 2019

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“…Mahanthesh et al [25] numerically investigated the influences of buoyancy force, nanoparticles, chemical reaction, and heat source/sink on combined forced and free convection flow of an electrically conducting water-based Cu-nanofluid past a moving/stationary vertical plate using Laplace transform method. The impacts of different governing parameters on mixed convection flow of nanofluid past stretching surfaces were studied by ( [26][27][28]). Most recently, Khan and Rasheed [29] scrutinized magnetohydrodynamic (MHD) combined natural and forced convection flow of the Maxwell nanofluid with magnetic field and buoyancy force effects.…”

Section: Introductionmentioning

confidence: 99%

Mixed convection flow of nanofluid with Hall and ion-slip effects using spectral relaxation method

Ibrahim

Anbessa

2019

J Egypt Math Soc

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In this article, the Hall and ion-slip effects on a mixed convection flow of an electrically conducting nanofluid over a stretching sheet in a permeable medium have been discussed. Using the similarity transformations, the partial differential equations corresponding to the momentum, energy, and concentration equations are transformed to a system of nonlinear ordinary differential equations which are solved numerically using a spectral relaxation method (SRM). The effects of significant parameters on the velocities, temperature, and concentration profiles are analyzed graphically. Moreover, the results of the skin friction coefficients, local Nusselt number, and Sherwood number are determined numerically. The results of the analysis showed that the velocity profile in the flow direction increases with an increase in mixed convection parameter λ, Hall parameter β h , and ion-slip parameter β i , and it decreases with an increase in the magnetic parameter M. Furthermore, temperature and concentration profiles decrease as the mixed convection parameter λ and buoyancy ratio Nr increase. It is also observed that the skin friction coefficients, local Nusselt number, and Sherwood number increase with an increase in the Hall parameter β h , mixed convection parameter λ, and buoyancy ratio Nr.

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“…In literature, the running techniques are the variational iteration method (VIM) [10], homotopy analysis method (HAM) [11], differential transform method (DTM) [12], and finite element method (FEM) [13]. The spectral relaxation method [14] and spectral perturbation method [15] have secured importance these days. Recently, several authors [16][17][18][19][20] have studied different flow parameters considering different fluid flows over different geometries.…”

Section: Introductionmentioning

confidence: 99%

Effect of internal heat generation on free convective power-law variable temperature past a vertical plate considering exponential variable viscosity and thermal conductivity

2019

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The aim of this paper is to study the free convection boundary-layer flow with heat generation and variable fluid properties past a vertical plate. We incorporated the heat generation and variable viscosity are the exponential decay form and thermal conductivity is the linear form in the governing equation. Using similarity transformations, the governing coupled non-linear partial differential equations are transformed into a system of coupled non-linear ordinary differential equations and then solved using Maple symbolic software to execute the computations via dsolve. The effects of the temperature-dependent viscosity, the wall velocity power index, the thermal conductivity, the wall temperature parameter, and the Prandtl number on the flow and temperature fields are presented. The skin friction and the wall temperature gradient are also presented for different values of the physical parameters.

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On unsteady MHD mixed convection in a nanofluid due to a stretching/shrinking surface with suction/injection using the spectral relaxation method

Cited by 47 publications

References 25 publications

Heat and Mass Transfer in a Viscous Nanofluid Containing a Gyrotactic Micro-Organism Over a Stretching Cylinder

Heat and Mass Transfer in a Viscous Nanofluid Containing a Gyrotactic Micro-Organism Over a Stretching Cylinder

Mixed convection flow of nanofluid with Hall and ion-slip effects using spectral relaxation method

Effect of internal heat generation on free convective power-law variable temperature past a vertical plate considering exponential variable viscosity and thermal conductivity

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