Computational study on the effects of variable viscosity of micropolar liquids on heat transfer in a channel

Rafiq, Shahid; Abbas, Zaheer; Nawaz, M.; Alharbi, Sayer Obaid

doi:10.1007/s10973-020-09889-0

Cited by 5 publications

(4 citation statements)

References 35 publications

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“…Using equation (34) into equations (25)(26)(27)(28)(29)(30)(31)(32)(33) and eliminating pressure from equations ( 26) and ( 27) simultaneously, we get = 4 ψ ð1Þ ¼ 0: (35) Now to attain the solution of equation ( 35) together with the boundary conditions given in equations (31)(32)(33) we will use the inverse method, [19][20][21] so for that we assume ψ ð1Þ of the form ψ ð1Þ ðx,yÞ ¼ KðxÞR ð1Þ ðyÞ þ T ð1Þ ðyÞ (36) where…”

Section: Solution Of the Problemmentioning

confidence: 99%

“…ðyÞ and T ð1Þ ðyÞ are unspecified functions to be determined. Now invoking equation (36) in equations (31)(32)(33)(34)(35) one writes the following boundary value problems R ð1Þiv ðyÞ ¼ 0, (37) with boundary conditions…”

Section: Solution Of the Problemmentioning

confidence: 99%

“…Ashraf 29 presented the numerical solution for axisymmetric laminar flow of Micropolar fluid with different wall permeability. Kahshan [30][31][32] studied the slow flow of Jeffrey and Micropolar fluid through a porous channel and Abbas 33 discussed the Casson fluid in a porous channel with the addition of temperature-dependent viscosity and Rafiq et al 34 numerically investigated the variable viscosity effects and transfer of heat on channel flow of Micropolar fluid. Bhatti et al 35 studied the second-order fluid flow in a porous tube with uniform reabsorption.…”

Section: Introductionmentioning

confidence: 99%

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Analytical study of creeping flow of Maxwell fluid in a permeable slit with linear re-absorption

Mehboob

Maqbool

Ramzan

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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This research presents the analytical study of the creeping flow of a Maxwell fluid in a permeable slit under the effect of linear reabsorption. Analysis of fluid leakage on the slit wall is carried out with the help of the law of conservation of momentum in the rectangular coordinates. The mathematical model in the form of the system of nonlinear partial differential equations is solved by the recursive approach explaining the hydrodynamic aspects of creeping Maxwell fluid flow. The expressions for the velocity field, hydrostatic pressure, stream function, leakage flux, and fractional reabsorption on the boundary of the slit are obtained from the mathematical model. Graphical analysis is also established to demonstrate the effects of emerging parameters due to linear reabsorption on slit boundary and relaxation time. It is analyzed that the horizontal and vertical velocity decelerates by the growing values of the relaxation parameter, but the reabsorption rate gives an increasing effect on the shear stress, volume flow rate, and vertical velocity. This analytical study will help the bioengineers in designing the medical tools with the required pressure and flow rate, therefore the application of this model for the hemodialyzer is also important.

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Section: Solution Of the Problemmentioning

confidence: 99%

Section: Solution Of the Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Analytical study of creeping flow of Maxwell fluid in a permeable slit with linear re-absorption

Mehboob

Maqbool

Ramzan

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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show abstract

“…Ahmed et al 15 carried out the numerical study over a permeable‐shrinking surface and studied the transport of heat in carbon nanotubes based on MHD unsteady flow with viscosity varying. Rafiq et al 16 reported heat transfer in a channel for micropolar liquids by varying its viscosity. Recently, Manjunatha et al 17 reported the peristaltic mechanism of Jeffery fluid and explained the impact of mass and heat transfer on consideration of varying thermal conductivity and viscosity in a nonuniform porous channel.…”

Section: Introductionmentioning

confidence: 99%

Investigation of irreversibilities in a microchannel by differing viscosity, including buoyancy forces and suction/injection

2020

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Single‐phase Poiseuille flow considering oxides of copper‐water nanoliquid in the upright microchannel with uneven viscosity causes the production of inbuilt irreversibility in the system. This is reported in the present investigation involving the buoyancy force with suction/injection at the walls by taking into account different shapes of nanoparticles. The equations so obtained being highly nonlinear is attempted to solve via Runge–Kutta–Fehlberg shooting scheme. Flow and heat transmission characteristics are explored by considering the nanoparticle's shape. The result exemplifies that the viscosity variation parameter escalates the flow profile as well as temperature profile. The thermal radiation and Biot number boost the let go of thermal energy, which leads to system cooling. The temperature profile for nanoparticle shape factor upholds the fact that temperature is high for lamina‐shaped nanoparticles and least for spherical‐shaped nanoparticles. Also, the Biot number, radiation parameter, and nanoparticle volume fraction serve in lowering the entropy, which augments the exergetic effectiveness of the system.

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Nonlinear thermal analysis for flow of polymer-based nanofluid over vertical deformable surface

Ullah,

Shah,

Khan

et al. 2024

Mod. Phys. Lett. B

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Application: This study focuses on the analysis of nanofluids, which are suspensions of nanoparticles in standard fluid transfer systems. The investigation specifically examines the behavior of nanoparticles over a deformable surface. Purpose and Methodology: Thermal radiation and magnetohydrodynamic forms are incorporated into the energy and momentum equations, respectively. Basic fluid mechanics principles are employed to derive the governing flow equations. The use of similarity transforms facilitates the transformation of ordinary differential equations into partial differential equations. Nonlinear ordinary differential equations are then reduced to a set of initial value problems using the shooting technique. Core Findings: Numerical results are obtained for the thermal profile. The study indicates thermal optimization through the combined inclusion of water with alumina and polymers with copper oxide and titanium dioxide nanoparticles. Graphical analysis explores the absorption of parameters in velocity and temperature profiles. Future Work: Future research could delve deeper into the optimization of thermal properties and investigate additional nanoparticle combinations. Further exploration of the effects of different surface deformations and variations in fluid properties could also be pursued.

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Computational study on the effects of variable viscosity of micropolar liquids on heat transfer in a channel

Cited by 5 publications

References 35 publications

Analytical study of creeping flow of Maxwell fluid in a permeable slit with linear re-absorption

Analytical study of creeping flow of Maxwell fluid in a permeable slit with linear re-absorption

Investigation of irreversibilities in a microchannel by differing viscosity, including buoyancy forces and suction/injection

Nonlinear thermal analysis for flow of polymer-based nanofluid over vertical deformable surface

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