Thermodynamic analysis for a third grade fluid through a vertical channel with internal heat generation

In this paper, the entropy generation rate in unsteady buoyancy-driven hydromagnetic couple stress fluid flow through a porous channel has been investigated. The partial differential equations are converted into their corresponding dimensionless equivalence, including the prescribed initial boundary conditions. These equations were solved using the Adomian decomposition method and the behaviour of some pertinent fluid variables, such as velocity, temperature, entropy generation rate and the irreversibility ratio were examined and discussed for different parameters of interest, which include, the Grashof number, the Hartmann's number, the Reynolds number, the Brinkman number and the couple stress pa- Graphs are shown to illustrate the findings.

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“…Refs. [32,33]). As a result, only few terms would be required to obtain the approximate solutions of the problem.…”

Section: Adomian Decomposition Methods Of Solutionmentioning

confidence: 99%

Entropy Generation Rate in Unsteady Buoyancy-Driven Hydromagnetic Couple Stress Fluid Flow Through a Porous Channel

Kareem¹,

Adesanya²,

Falade³

et al. 2017

Int. J. of Pure and Appl. Math.

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“…It was concluded that Grashof numbers to Reynolds number ratio are better for maximizing the exergy of the system. Adesanya et al [4] presented the study of thermodynamic analysis for a third grade fluid through a vertical channel with internal heat generation, among the submissions is that increase in the Grashof number depletes the exergy level of the thermal system. In addition, heat transfer dominates the channel with increase in Grashof number.…”

Section: Introductionmentioning

confidence: 99%

Inherent irreversibility analysis in a buoyancy induced magnetohydrodynamic couple stress fluid

Gbadeyan¹,

Opanuga²

2018

J. Math. Computer Sci.

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This paper investigates the inherent irreversibility in a buoyancy induced magnetohydrodynamic (MHD) couple stress fluid through non-Darcian porous medium. It is assumed that the fluid exchanges heat with the ambient following Newtonian law. The governing Navier-Stoke and energy equations are formulated and non-dimensionalied, the approximate solutions for the velocity and temperature profiles are obtained via Adomian decomposition method. The results are used to calculate the entropy generation rate, and Bejan number. The effects of Buoyancy force, suction/injection, Hartman number and other flow parameters on velocity, temperature, entropy generation rate, and Bejan number are analyzed and discussed graphically. The results show that increase in Buoyancy force and suction/injection increases fluid velocity and temperature.Entropy generation rate becomes higher as the values of Buoyancy force, suction/injection parameter, and Hartman number increases.

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“…Saleem and Nadeem (2015) studied the mutual effects of viscous dissipation and slip effects on a rotating vertical cone in a viscous fluid. Adesanya and Makinde (2015) made the thermodynamic analysis in forced convective flow of a third grade fluid through a vertical channel. Swati Mukhopadhyay and Vajravelu (2013) investigated the twodimensional flow of a non-Newtonian fluid over an unsteady stretching permeable surface.…”

Section: Introductionmentioning

confidence: 99%

Application of Finite Element Method to MHD Mixed Convection Chemically Reacting Flow past a Vertical Porous Plate with Cross Diffusion and Biot Number Effects

Raju¹

2017

AJHMT

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A numerical solution to the problem of mixed convective MHD chemically reacting flow past a vertical porous plate in the presence of thermal radiation and cross diffusion effects was studied. Instead of the commonly used conditions of constant surface temperature or constant heat flux, a convective boundary condition is employed which makes this study unique and the results more realistic and practically useful. The momentum, energy, and concentration equations derived as coupled second-order, ordinary differential equations and are solved numerically using a highly accurate and thoroughly tested finite element method. The effects of Grashof number (defined to represent a mixed convection parameter) for heat and mass transfer, Soret number, Dufour number, Viscous dissipation parameter, Chemical reaction parameter, Permeability parameter, Thermal radiation parameter and Biot number on the velocity, temperature and concentration profiles are illustrated and interpreted in physical terms. The present results agree closely with the existing results for the special cases of the problem. This close agreement lends support to the validity of the present analysis and the accuracy of the numerical computations. The paper also contains a table in which the data for the local skin friction, local Nusselt number and local Sherwood number are provided for various combination values of the parameters that govern the momentum, energy and concentration convey in the mixed boundary layer.

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Thermodynamic analysis for a third grade fluid through a vertical channel with internal heat generation

Cited by 49 publications

References 16 publications

Entropy Generation Rate in Unsteady Buoyancy-Driven Hydromagnetic Couple Stress Fluid Flow Through a Porous Channel

Entropy Generation Rate in Unsteady Buoyancy-Driven Hydromagnetic Couple Stress Fluid Flow Through a Porous Channel

Inherent irreversibility analysis in a buoyancy induced magnetohydrodynamic couple stress fluid

Application of Finite Element Method to MHD Mixed Convection Chemically Reacting Flow past a Vertical Porous Plate with Cross Diffusion and Biot Number Effects

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