Entropy Generation Analysis of the Flow of Two Immiscible Couple Stress Fluids Between Two Porous Beds

Srinivas, J.; Murthy, J. V. Ramana; Сай, Катерина Сергіївна

doi:10.1615/computthermalscien.2015012175

Cited by 14 publications

(5 citation statements)

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“…Therefore, we draw the conclusion that raising couple stress parameters s i for i = 1 , 2 causes fluid velocities to increase in both flow areas. This result validates our problem with the previous works of Umavathi et al [20], Devakar et al [23], Srinivas and Murthy [32], Srinivas et al [37], and Kumar and Agarwal [44]. Since s 2 i = μ i R 2 /η i , an increase in couple stress viscosities η i for i = 1, 2 corresponds to a decrease in the couple stress parameters s i .…”

Section: Resultssupporting

confidence: 92%

“…A similar kind of behavior can be found in Refs. Srinivas and Murthy [32], Srinivas et al [37], Punnamchandar and Fekadu [51], and Kumar and Agarwal [44].…”

Section: Resultsmentioning

confidence: 99%

“…An analysis of the Poiseuille flow of immiscible micropolar-Newtonian fluids through concentric pipes filled with the porous medium was done by Yadav et al [33]. Other important studies in this direction include Chamkha [34], Harmindar and Singh [35], Singh [36], and Srinivas et al [37]. Though many researchers have worked on the flow of immiscible fluids through porous channels, the flow of immiscible non-Newtonian fluids through porous cylinders is reasonably underexplored despite its applicability in blood flows, chemical engineering, crude oil extraction, etc.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Hydromagnetic Flow of Two Immiscible Couple Stress Fluids through Porous Medium in a Cylindrical Pipe with Slip Effect

Bitla

Kore

2023

Journal of Applied Mathematics

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In this study, the steady hydromagnetic flow of two immiscible couple stress fluids through a uniform porous medium in a cylindrical pipe with slip effect is investigated analytically. Essentially, the flow system is divided into two regions, region I and region II, which occupy the core and periphery of the system, respectively. The flow is driven by a constant pressure gradient applied in a direction parallel to the cylinder’s axis, and an external uniform magnetic field is applied in the direction perpendicular to the direction of fluid motion. Instead of the classical no-slip condition, the slip velocity along with vanishing couple stress boundary conditions is taken on the surface of the rigid cylinder, and continuity conditions of velocity, vorticity, shear stress, and couple stress are imposed at the fluid-fluid interface. The governing equations are modeled using the fully developed flow conditions. The resulting differential equations governing the flow in the two regions are converted to nondimensional forms using appropriate dimensionless variables. The nondimensional equations are solved analytically, and closed-form expressions for the flow velocity, flow rate, and stresses are derived in terms of the Bessel functions. The impacts of several parameters pertaining to the flow such as the magnetic number, couple stress parameters, Darcy number, viscosity ratio, Reynolds number, and slip parameter on the velocities in respective regions are examined and illustrated through graphs. The flow rate’s numerical values are also calculated for different fluid parameters and displayed in tabular form. It is found that increasing the magnetic number, viscosity ratio, Reynolds number, and slip parameters decreases the velocities of the fluids whereas increasing the couple stress parameter, Darcy number, and pressure gradient increases fluid velocities. The results obtained in this paper show an excellent agreement with the already existing results in the literature as limiting cases.

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Section: Resultssupporting

confidence: 92%

“…A similar kind of behavior can be found in Refs. Srinivas and Murthy [32], Srinivas et al [37], Punnamchandar and Fekadu [51], and Kumar and Agarwal [44].…”

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Hydromagnetic Flow of Two Immiscible Couple Stress Fluids through Porous Medium in a Cylindrical Pipe with Slip Effect

Bitla

Kore

2023

Journal of Applied Mathematics

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“…Srinivas and Ramana Murthy [34] studied the dynamics of two homogeneous, permeable beds saturated with different density immiscible couple stress (polar) fluids with carefully constructed interfacial boundary conditions. Srinivas et al [35] extended the hydrodynamic model to consider heat transfer effects with entropy generation minimization for a horizontal channel. Srinivas and Ramana Murthy [36] further generalized the studies in a wider range of thermal boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

Numerical study of time dependent flow of immiscible Saffman dusty (fluid-particle suspension) and Eringen micropolar fluids in a duct with a modified cubic B-spline Differential Quadrature method

Chandrawat

Joshi

Bég

2022

International Communications in Heat and Mass Transfer

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“…Prakash and Muthtamilselvan 5 examined a transient electrically conducting micropolar fluid flow through a vertical conduit. Srinivas et al 6 treated entropy for a novel configuration involving two immiscible couple stress fluids between two porous beds. Ibáñez 7 discussed entropy generation in an MHD porous channel.…”

Section: Introductionmentioning

confidence: 99%

Micropolar couple stress thermofluidics and entropy in Forchheimer channel

2021

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This paper presents an analysis of the entropy generated in thermofluidic configuration involving micropolar couple stress fluid flow inside a Forchheimer channel. The channel is composed of a porous medium trapped between two parallel permeable plates separated by distance H through which the fluid can be sucked out/injected in. One of the plate bears a constant temperature and other is subjected to a uniform heat flux. A Cartesian coordinate system is chosen to model the flow configuration. The nondimensional nonlinear governing equations are solved by the differential transform method and Runge–Kutta–Fehlberg method to ascertain the accuracy of the results. Both the methods do match to the order of 10−6 for the quantities velocity, microrotation, and temperature. These quantities and their gradients are required to the compute entropy generation number. The effects of the parameters on entropy generation and Bejan number are discussed through various plots.

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Entropy Generation Analysis of the Flow of Two Immiscible Couple Stress Fluids Between Two Porous Beds

Cited by 14 publications

References 0 publications

Hydromagnetic Flow of Two Immiscible Couple Stress Fluids through Porous Medium in a Cylindrical Pipe with Slip Effect

Hydromagnetic Flow of Two Immiscible Couple Stress Fluids through Porous Medium in a Cylindrical Pipe with Slip Effect

Numerical study of time dependent flow of immiscible Saffman dusty (fluid-particle suspension) and Eringen micropolar fluids in a duct with a modified cubic B-spline Differential Quadrature method

Micropolar couple stress thermofluidics and entropy in Forchheimer channel

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