Thermodynamics Analysis for a Reacting Couple Stress Fluid Flow Through a Vertical Channel

Adesanya, Samuel O.; Falade, J.A.; Ukaegbu, Joel C.; Lebelo, Ramoshweu Solomon

doi:10.12732/ijpam.v114i3.1

Cited by 3 publications

(2 citation statements)

References 14 publications

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“…[7][8][9] Regarding this, the investigation of the heat transfer in a couple stress fluid has been depicted by Falade et al 10 They have noticed that the couple stress decreases the behavior of the fluid motion and the thermal field. Analysis of the couple stress nanofluid flow through vertical channel under the impacts of convective, Joule heating, and field of magnetism has been discussed by Kareem et al 11 With the use of the Adomian decomposition method, the various parameters impact velocity and heat transfer in a couple stress fluid through a channel was numerically reported by Adesanya et al 12 The same author Adesanya et al 13 have analyzed the impacts of chemical reaction in a couple stress fluid flow in a vertical microchannel. They have noticed that the impact of diffusivity is dominant in a couple stress fluid flow.…”

Section: Introductionmentioning

confidence: 99%

Flow and heat transfer analysis of MHD third‐grade fluid flow through a vertical microchannel subjected to entropy generation

Roja¹,

Gireesha

2022

Heat Trans

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This paper analyses the generation of entropy in an electrically conducting third‐grade fluid through a vertical channel considering the variable thermal conductivity. Aspects of radiation, viscous dissipation, porous medium, Joule heating, convective boundary condition, and heat generation are studied. Nonlinear systems of ordinary differential equations are obtained via applying suitable dimensionless variables. After that, the system is solved with the aid of using the Runge–Kutta–Fehlberg method. The numerical solutions are used to characterize the irreversibility and irreversibility ratio. It is established that the entropy is enhanced with accelerating estimations of the third‐grade material parameter, Brinkman number, magnetism, Biot number, porous parameter, and the impact is decelerated with elevating values of the radiation. The rate of heat transfer is higher for the Brinkman number, and a similar impact on drag force is noticed for magnetic and Grashof numbers. All the parameters on flow, temperature, fluid irreversibility and irreversibility ratio are discussed through graphical illustration.

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Section: Introductionmentioning

confidence: 99%

Flow and heat transfer analysis of MHD third‐grade fluid flow through a vertical microchannel subjected to entropy generation

Roja¹,

Gireesha

2022

Heat Trans

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“…The transient free convective boundary layer flow of a couple stress fluid over a vertical cylinder, in the absence of body couples was presented by Rani et al (2013). Entropy generation rate in the flow of couple stress fluid undergoing exothermal chemical reaction through a porous vertical channel by applying the second law of thermodynamics was studied by Adesanya et al (2017).…”

Section: Introductionmentioning

confidence: 99%

Flow and heat transfer of couple stress nanofluid sandwiched between viscous fluids

Umavathi

Sheremet

2019

HFF

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Purpose The purpose of this study is a numerical analysis of steady-state heat transfer behavior of couple-stress nanofluid sandwiched between viscous fluids. It should be noted that this research deals with the development of a cooling system for the electronic devices. Design/methodology/approach Stokes model is used to define the couple-stress fluid and the single-phase nanofluid model is used to define the nanofluid transport processes. The fluids in all regions are assumed to be incompressible, immiscible and the transport properties in all the three layers are assumed to be constant. The governing coupled linear ordinary differential equations are made dimensionless by using appropriate fundamental quantities. The exact solutions obtained for the velocity and temperature fields are evaluated numerically for various model parameters. Findings The results are demonstrated using different types of nanoparticles such as copper, silver, silicon oxide (SiO2), titanium oxide (TiO2) and diamond. The investigations are carried out using copper–water nanofluid for different values of couple-stress parameter a with a range of 0 = a = 12, solid volume fraction ϕ with a range of 0.0 ≤ ϕ ≤ 0.05, Eckert number Ec with a range of 0.001 ≤ Ec ≤ 6 and Prandtl number Pr with a range of 0.001 ≤ Pr ≤ 6. It was found that the Nusselt number increases by increasing the couple stress parameter, Eckert number and Prandtl number and it decreases with a growth of the solid volume fraction parameter. It was also observed that using SiO2–water nanofluid, the optimal Nusselt number is obtained. Further, using copper, silver, diamond and TiO2, nanoparticles and water as a base fluid does not show any significant changes in the rate of heat transfer. The couple-stress parameter enhances the velocity and temperature fields whereas the solid volume fraction suppresses the flow field for both Newtonian and couple-stress fluid. Originality/value The originality of this work is to analyze the heat transfer behavior of couple-stress nanofluid sandwiched between viscous fluids. The results would benefit scientists and engineers to become familiar with the analysis of convective heat transfer and flow structures in nanofluids and the way to predict the heat transfer rate in advanced technical systems, in industrial sectors including transportation, power generation, chemical sectors, electronics, etc.

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Analytical solutions of fractional couple stress fluid flow for an engineering problem

Naz

Ikram

Asjad

2023

Nonlinear Engineering

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In this article, analytical solutions of couple stress fluid flow modeled with a power law fractional differential operator are discussed. Stokes’ second problem for an incompressible couple stress fluid is studied for an horizontal plate of infinite length. The governing equations of the flow problem are expressed in terms of a partial differential operator and then converted into a non-dimensional model by using dimensional analysis. Then the integer order problem was formulated in terms of the non-integer order of three types of fractional derivatives and then solved with the help of the Laplace transform method. The obtained solutions are complex and expressed in terms of series. In order to check the memory index of the solutions obtained with three different fractional operators, we have plotted some graphs. It is found that the constant proportional operator provides us a better choice about the memory and maximum enhancement achieved in the comparison of Caputo and Caputo–Fabrizio. Furthermore, in order to check the accuracy of the present results, we have compared the obtained solutions with the existing literature and found a good agreement between them.

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Thermodynamics Analysis for a Reacting Couple Stress Fluid Flow Through a Vertical Channel

Cited by 3 publications

References 14 publications

Flow and heat transfer analysis of MHD third‐grade fluid flow through a vertical microchannel subjected to entropy generation

Flow and heat transfer analysis of MHD third‐grade fluid flow through a vertical microchannel subjected to entropy generation

Flow and heat transfer of couple stress nanofluid sandwiched between viscous fluids

Analytical solutions of fractional couple stress fluid flow for an engineering problem

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