Study of heat transfer in MHD viscoelastic fluid of second grade over a stretching porous sheet with electromagnetic effects and nonuniform source/sink

Marinca, Vasile; Marinca, Bogdan; Herisanu, Nicolae

doi:10.1016/j.cam.2023.115601

Cited by 11 publications

(3 citation statements)

References 31 publications

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“…Mishra and Samantara [40] demonstrated how these combined factors affect fluid flow and heat transmission across a linear stretching sheet with a suspension of fluid particles. Marinca et al [41] examined the MHD heat transfer of a second-grade viscoelastic fluid over a stretching porous sheet with non-uniform heat source/sink.…”

Section: Introductionmentioning

confidence: 99%

“…The convergence of the series solutions (44) depends on the selection of the auxiliary parameter f  and q .  Assuming f  and q  is chosen such that the series solutions (40)-( 41) are convergent at = q 0 and = q 1, then, by equation (44), the i th -order deformation equations can be obtained by differentiating equations (40) and (41) up to m times with respect to q dividing by m! and then setting = q 0.…”

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confidence: 99%

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Investigation of momentum and heat transfer characteristics of Maxwell fluid cascading over a stretching sheet: A HAM approach

M N,

S K

2024

Phys. Scr.

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This paper presents a novel investigation into the intricate behaviour of momentum and heat transport phenomena in a non-Newtonian Maxwell fluid flowing over a stretching sheet. Incorporating thermal radiation R d , magnetic fields M , buoyancy effects λ T , and porous media K under convective boundary conditions the study unveils complex fluid behaviours. Energy equation has been obtained by incorporating non-uniform heat source/sink along with viscosity of the fluid as a function of temperature across the domain. Leveraging the Lie Scale transformation technique, the governing non-linear partial differential equations are converted into non-linear ordinary differential equations. With the aid of Homotopy Analysis Method (HAM), a semi-analytical technique, the solutions describing the physical phenomenon of the current model have been obtained. Further, the results are assessed through the graphical analysis of the velocity profile f ′ η , thermal profile θ η , skin friction coefficient C f R e 1 2 , and Nusselt number N u R e − 1 2 . The obtained results using HAM shows good agreement with the existing literature. The present work offers practical implications for various engineering applications.

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Section: Introductionmentioning

confidence: 99%

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confidence: 99%

Investigation of momentum and heat transfer characteristics of Maxwell fluid cascading over a stretching sheet: A HAM approach

M N,

S K

2024

Phys. Scr.

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“…Cham and Mustafa [11], Behbahan et al [12], Moatimid et al [13] and Marinca et al [14]. Viscoelastic models had also been utilized by researchers to investigate other interesting flow scenarios, such as channel flows [15], flow in a rectangular duct [16], peristaltic flows [17][18][19] and rotating-disk produced flows [20][21][22], just to name a few.…”

Section: Introductionmentioning

confidence: 99%

Analytical solution for unsteady Walters-B fluid flow by a deforming surface with acceleration using OHAM based package BVPh2.0

Malik,

Mustafa

2023

Phys. Scr.

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Current study aims at simulating fluid flow due to a deformable heated surface in an otherwise static viscoelastic fluid obeying Walters-B model. Velocity of the surface is supposed to grow as time from its initiation of motion progress. Simulations in this work are based on the assumption of quadratic surface temperature distribution. Temperature rise attributed to the frictional heating effect is accounted for in the analysis. By choosing appropriate base functions, homotopy solutions are developed for reasonably large values of material fluid parameter. Reliability of the analytical results is established by computing averaged squared residual of the system. The contributions of the surface acceleration and elasticity on the boundary layer formation are enlightened through the plots of velocity components and temperature. Skin friction measuring the stress experienced by the surface is evaluated and examined under different controlling parameters. The paper also presents a numerical solution using NDSolve of MATHEMATICA in a special case of steady flow, and such solution agrees very well with the corresponding homotopy solution.

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A study on the pressure‐driven flow of magnetized non‐Newtonian Casson fluid between two corrugated curved walls of an arbitrary phase difference

Mujahid,

Abbas,

Rafiq

2024

Heat Trans

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Pressure‐driven movement is a fundamental concept with numerous applications in various industries, scientific disciplines, and fields of engineering. Its proper execution is vital for promoting revolutionary innovations and providing solutions in numerous sectors. Therefore, this article scrutinizes the pressure‐driven flow of magnetized Casson fluid between two curved corrugated walls. The geometry of the channel is represented mathematically in an orthogonal curvilinear coordinate system. The corrugation grooves are described by sinusoidal functions with phase differences between the corrugated curved walls. The boundary perturbation method is used to find the analytical solution for the velocity field and volumetric flow rate, taking the corrugation amplitude as the perturbation parameter. The results show that the peak of the velocity increases with the radius of curvature and the width of the channel for a constant pressure gradient. The velocity exhibited a declining trend due to an increase in the Casson fluid parameter. For a sufficiently large corrugation wavenumber, the flow rate decreases, and the phase difference becomes irrelevant. However, the reduction in flow can be minimized by decreasing the channel radius of curvature. In general, a smooth curved channel will give the maximum flow rate for a large corrugation wavenumber. The model can be used to simulate blood flow in arteries with varying geometries and magnetic fields, aiding in the study of cardiovascular diseases and the design of medical devices like stents.

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Study of heat transfer in MHD viscoelastic fluid of second grade over a stretching porous sheet with electromagnetic effects and nonuniform source/sink

Cited by 11 publications

References 31 publications

Investigation of momentum and heat transfer characteristics of Maxwell fluid cascading over a stretching sheet: A HAM approach

Investigation of momentum and heat transfer characteristics of Maxwell fluid cascading over a stretching sheet: A HAM approach

Analytical solution for unsteady Walters-B fluid flow by a deforming surface with acceleration using OHAM based package BVPh2.0

A study on the pressure‐driven flow of magnetized non‐Newtonian Casson fluid between two corrugated curved walls of an arbitrary phase difference

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