Entropy generation for pipe flow of a third grade fluid with Vogel model viscosity

The current study investigates theoretically and numerically the entropy generation in time-dependent free-convective third-grade viscoelastic fluid convection flow from a vertical plate. The nondimensional conservation equations for mass, momentum and energy are solved using a Crank–Nicolson finite difference method with suitable boundary conditions. Expressions for known values of flow-variables coefficients are also derived for the wall heat transfer and skin friction and numerically evaluated. The effect of Grashof number, Prandtl number, group parameter (product of dimensionless temperature difference and Brinkman number) and third-grade parameter on entropy heat generation is analyzed and shown graphically. Bejan line distributions are also presented for the influence of several control parameters. The computations reveal that with increasing third-grade parameter, the entropy generation decreases and Bejan number increases. Also, the comparison graph shows that contour lines for third-grade fluid vary considerably from the Newtonian fluid. The study is relevant to non-Newtonian thermal materials processing systems.

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Thermodynamic Analysis of Magnetohydrodynamic Third Grade Fluid Flow with Variable Properties

International Journal of Engineering Research in Africa ◽

10.4028/www.scientific.net/jera.55.28 ◽

2021 ◽

Vol 55 ◽

pp. 28-46

Author(s):

Kgomotshwana Frans Thosago ◽

Lazarus Rundora ◽

Samuel Olumide Adesanya

Keyword(s):

Fluid Flow ◽

Thermodynamic Analysis ◽

Entropy Generation ◽

Generation Rate ◽

Third Grade ◽

Entropy Generation Rate ◽

Bejan Number ◽

Third Grade Fluid ◽

Entropy Generation Minimization ◽

Grade Fluid

This article aims to computationally study entropy generation in a magnetohydrodynamic (MHD) third grade ﬂuid ﬂow in a horizontal channel with impermeable walls. The ﬂuids viscosity and thermal conductivity are assumed to be dependent on temperature. The ﬂow is driven by an applied uniform axial pressure gradient between inﬁnite parallel plates and is considered to be incompressible, steady and fully developed. Adomian decomposition method (ADM) is used to obtain series solutions of the nonlinear governing equations. Thermodynamic analysis is done by computing the entropy generation rate and the irreversibility ratio (Bejan number). The effects of the various pertinent embedded parameters on the velocity ﬁeld, temperature ﬁeld, entropy generation rate and Bejan number are analysed through vivid graphical manipulations. The analysis shows that an appropriate combination of thermophysical parameters efﬁciently achieves entropy generation minimization in the thermomechanical system. The analysis shows that entropy generation minimization is achieved by increasing the magnetic ﬁeld and the third grade material parameters, and therefore designs and processes incorporating MHD third grade ﬂuid ﬂow systems are far more likely to give optimum and efﬁcient performance.

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Note on an exact solution for the pipe flow of a third-grade fluid

Acta Mechanica ◽

10.1007/s00707-006-0428-2 ◽

2007 ◽

Vol 190 (1-4) ◽

pp. 233-236 ◽

Cited By ~ 18

Author(s):

T. Hayat ◽

F. M. Mahomed

Keyword(s):

Exact Solution ◽

Pipe Flow ◽

Third Grade ◽

Third Grade Fluid ◽

Grade Fluid

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Effect of Suction/Injection on the Entropy Generation of Third Grade Fluid with Convective Cooling

Defect and Diffusion Forum ◽

10.4028/www.scientific.net/ddf.384.21 ◽

2018 ◽

Vol 384 ◽

pp. 21-30 ◽

Cited By ~ 2

Author(s):

Abiodun A. Opanuga ◽

Jacob A. Gbadeyan ◽

Olasumbo O. Agboola ◽

Hilary I. Okagbue

Keyword(s):

Entropy Generation ◽

Fluid Velocity ◽

Adomian Decomposition Method ◽

Third Grade ◽

Fluid Temperature ◽

Third Grade Fluid ◽

Convective Cooling ◽

Injection Parameter ◽

Adomian Decomposition ◽

Grade Fluid

Effect of suction/injection on the rate of entropy generation of third grade fluid with convective cooling is analysed in this work. The highly non-linear boundary value problems obtained from the governing equations are solved by Adomian decomposition method (ADM). Some plots are presented to explain the influence of pertinent parameters on fluid motion, temperature, entropy generation and irreversibility ratio. From the results it is shown that suction/injection and third grade fluid parameters reduce fluid velocity across the channel, and increase in suction/injection parameter enhances fluid temperature while convective cooling parameter reduces it. Entropy generation is enhanced by suction/injection parameter at the lower wall but reduces it at the upper wall

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Second Law Analysis for Third-Grade Fluid with Variable Properties

Journal of Thermodynamics ◽

10.1155/2014/452168 ◽

2014 ◽

Vol 2014 ◽

pp. 1-8 ◽

Cited By ~ 8

Author(s):

Samuel O. Adesanya

Keyword(s):

Entropy Generation ◽

Fluid Velocity ◽

Adomian Decomposition Method ◽

Approximate Solutions ◽

Third Grade ◽

Third Grade Fluid ◽

Variable Properties ◽

Adomian Decomposition ◽

Second Law Analysis ◽

Grade Fluid

This paper investigates the entropy generation in a third-grade fluid flow with variable properties through a channel. Approximate solutions to the nonlinear boundary-value problem are obtained using Adomian decomposition method (ADM). Variation of important parameters on the fluid velocity, temperature distribution, entropy generation and irreversibility ratio are presented graphically and discussed.

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