Numerical Study on an Unsteady Flow of an Immiscible Micropolar Fluid Sandwiched Between Newtonian Fluids Through a Channel

Devakar, M.; Raje, Ankush; Kumar, Shashikant

doi:10.1134/s0021894418060032

Cited by 12 publications

(17 citation statements)

References 19 publications

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“…In these figures, we have taken the same values of the common parameters to validate our results. These figures clearly show that the nature of variation in linear and microrotational velocity with Reynolds number agrees with the previously established result of Murthy et al 49 The nature of variation in linear and microrotational velocity with Reynolds number also agrees with the results discussed in the previous literatures 27,29,34,39,40 …”

Section: Resultssupporting

confidence: 91%

“…For lower values of λ , the microrotational velocity of micropolar fluid is maximum at the interface of the immiscible fluid. Similar kind of variation was observed in the literatures 27,30,40 . The variation in wall shear stresses at the walls of inclined channel with viscosity ratio( λ ) for different cases of the permeability parameters is shown in Table 3.…”

Section: Resultssupporting

confidence: 85%

“…The Reynolds number

R = \frac{ρ U h}{μ_{1}}

, which is used to categorised the flow behaviour, is the ratio of inertial force to viscous force. As in the proposed model, we assumed the laminar flow of fluid through the channel, so, we have taken only low Reynolds number to analyse the results 27,39 . The values of coupling number

α = \frac{κ}{κ + μ_{2}}

, which is also named as cross‐viscosity, lie between 0 and 1 (Khanukaeva et al 19 ).…”

Section: Resultsmentioning

confidence: 99%

“…Here, it is also concluded that the flow rate of immiscible fluid is maximum in case of vertical channel and minimum in case of horizontal channel. The nature of variation in the flow rate of immiscible Newtonian and micropolar fluid in an inclined channel with Reynolds number, viscosity ratio and micropolarity parameter, respectively, is compared with the results of Devakar et al 27 This comparison is shown in Table 10. From Table 10, it is found that effect of Reynolds number, viscosity ratio and permeability parameter on the flow rate agrees with the result of Devakar et al 27 …”

Section: Resultsmentioning

confidence: 99%

“…In this work, he also discussed the effects of various parameters such as Reynolds number, viscosity ratio and density ratio, on the flow characteristic. Devakar et al 27 have investigated an unsteady flow of immiscible (micropolar and Newtonian) fluids through a channel. They solved the governing equations numerically by using Crank–Nicolson method and suitable boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

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Analysis of two immiscible Newtonian and micropolar fluid flow through an inclined porous channel

Yadav

Verma

2021

Math Methods in App Sciences

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In this work, the flow behaviour of two immiscible fluids is analysed through an inclined channel which is made of two rigid plates. The flow model consists of two porous regions of different permeability. Newtonian and micropolar fluids are allowed to flow in the region‐I and region‐II, respectively. The flow of Newtonian and micropolar fluid in respective porous region is governed by the Brinkman's equation. An exact solution of the proposed mathematical model is obtained by using well‐known and appropriate boundary conditions. The expressions for linear velocity, microrotational velocity, flow rate and stresses are evaluated. The effect of various emerging non‐dimensional parameters like viscosity ratio, couple stress parameter, gravitational parameter, Reynolds number, and so on, on linear velocity, microrotational velocity, flow rate and stresses is presented graphically. The results are validated with the help of the previous established results.

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Section: Resultssupporting

confidence: 91%

Section: Resultssupporting

confidence: 85%

“…The Reynolds number

R = \frac{ρ U h}{μ_{1}}

α = \frac{κ}{κ + μ_{2}}

, which is also named as cross‐viscosity, lie between 0 and 1 (Khanukaeva et al 19 ).…”

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Analysis of two immiscible Newtonian and micropolar fluid flow through an inclined porous channel

Yadav

Verma

2021

Math Methods in App Sciences

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Role of electromagnetic analysis in radiative immiscible Newtonian and non‐Newtonian fluids through a microchannel with chemical reactions

2022

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Heat transport in a sandwiched set‐up of MHD Newtonian–Casson–Newtonian fluids through a porous medium

Raje

Bhise

2022

Heat Trans

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The time-dependent sandwiched flow of immiscible fluids plays a vital role in petroleum extraction, biofluid mechanics, blood rheology, and so forth. Owing to their applications, the present study focuses on exploring the unsteady flow of Casson fluid through porous media sandwiched between Newtonian fluids in the channel. The channel is placed in the horizontal position, wherein the Casson fluid layer is in the central region, and Newtonian fluids are in the upperand lower regions. The governing system of equations is numerically solved using the finite difference method to obtain flow and heat transfer profiles. The influence of vital parameters on flow and heat transfer is discussed. Furthermore, the parameters of engineering interest, that is, fluid flow rate, skin friction, and Nusselt number are also analyzed in this study.

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Numerical Study on an Unsteady Flow of an Immiscible Micropolar Fluid Sandwiched Between Newtonian Fluids Through a Channel

Cited by 12 publications

References 19 publications

Analysis of two immiscible Newtonian and micropolar fluid flow through an inclined porous channel

Analysis of two immiscible Newtonian and micropolar fluid flow through an inclined porous channel

Role of electromagnetic analysis in radiative immiscible Newtonian and non‐Newtonian fluids through a microchannel with chemical reactions

Heat transport in a sandwiched set‐up of MHD Newtonian–Casson–Newtonian fluids through a porous medium

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