Multiple Slip and Inspiration Effects on Hydromagnetic Casson Fluid in a Channel with Stretchable Walls

Mallikarjuna, B.; Ramprasad, S.; Chakravarthy, Y. S. Kalyan

doi:10.18280/ijht.380407

Cited by 6 publications

(3 citation statements)

References 38 publications

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“…Divya et al, [23] presented a mathematical model of MHD Casson fluid flow in a channel with heat and mass transfer effects, solving the problems analytically using the perturbation method. Mallikarjuna et al, [24] numerically solved the problem of pulsatile Casson fluid flow in a channel with MHD and slip velocity effects. Then, Bukhari et al, [25] extended the problem to include the additional effects of porosity and thermal radiation, solving it numerically using the finite difference approach method.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Solution for Free Convection Flow of Brinkman Type Fluid in the Channel with the Effect of Accelerated Plate

Mohamad Riduan Hashim,

Zulkhibri Ismail,

Ahmad Qushairi Mohamad

et al. 2024

ARNHT

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The main purpose of this research is to formulate the mathematical models and solution for the effect of accelerated plate on free convection flow in Brinkman type fluid through two vertical channels. Using the appropriate dimensionless variables, the dimensional governing energy and momentum equations are reduced to dimensionless equations subjected to the associated initial boundary conditions. The analytical solutions are obtained by using Laplace transform method. Dimensionless parameters are obtained through dimensionless processes such as Grashof number Gr, Acceleration plate parameter, R, Prandtl number Pr, Brinkman type fluid parameter and time, t. The mathematical findings for velocity and temperature are graphically plotted to investigate the influence of dimensionless variables on profiles. It is observed that fluid velocity increases with increasing of Gr and t whereas it decreases with increasing of , R and Pr. Besides that, it is found that temperature profiles decrease with a high value of Prandtl number, Pr while increase with high value of time, t. In order to validate the results, the obtained results in limiting cases are compared with the published results and also with numerical Gaver-Stehfest algorithm. Both comparisons show that the solution is to be in a mutual agreement.

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Section: Introductionmentioning

confidence: 99%

Mathematical Solution for Free Convection Flow of Brinkman Type Fluid in the Channel with the Effect of Accelerated Plate

Mohamad Riduan Hashim,

Zulkhibri Ismail,

Ahmad Qushairi Mohamad

et al. 2024

ARNHT

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“…The effect of thermal radiation on Casson fluid flow via a vertical conduit was investigated by Khan et al 35 They used a fixed vertical plate and an oscillating vertical plate to tackle the problem. The unsteady flow of Casson fluid through a fixed channel was examined by Ahmad Qushairi et al 36 Mallikarjuna et al 37 used numerical methods to solve the problem of pulsatile Casson fluid flow. Bukhari et al, 38 in addition to slip velocity, included the impacts of porosity and heat radiation.…”

Section: Introductionmentioning

confidence: 99%

Numerical modeling of unsteady MHD flow of Casson fluid in a vertical surface with chemical reaction and Hall current

Rasheed

Islam

Zeeshan

et al. 2022

Advances in Mechanical Engineering

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The non-Newtonian fluid flow plays an important role in industrial and manufacturing processes such as painting, printing, coating, and biomechanical. In the present paper, the steady two-dimensional MHD free convective flow of Casson fluid over a vertical surface is elucidated numerically with the impact of thermal radiation and chemical reaction are offered. The interaction of transverse magnetic field, viscous dissipation, and Hall current are taken into the account. A nonlinear flow system is developed to decompose the heat and mass transmission effects of this liquid, which is done by taking an appropriate extreme boundary condition. Non-dimensional nonlinear ordinary differential equations (ODEs) are diminished from governing partial differential equations (PDEs) via fitting transformations. The fundamental model of nonlinear constitutive flow laws is tackled numerically through the ND-solve technique in a Mathematica 11.0 environment. The computational upshot is also described explicitly to examine the consequences pertinent parameters. The attained sundry parameters are analyzed expediently, which include magnetic factor, radiation, chemical reaction, Prandtl number, heat source, modified Grashof number, and Schmidt number. The features of the governing relevant parameters on the flow frameworks are analyzed correctly via plots and tables. Additionally, the drag force, heat, and mass transference coefficients outlines are examined.

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“…The voids present in the porous medium help it to serve as a pertinent heat transfer augmentation tool. Owing to vast applications in a variety of thermos-fluidics many studies have been reported in the literature [44][45][46][47][48][49][50][51][52][53][54][55][56][57][58][59].…”

Section: Introductionmentioning

confidence: 99%

Irreversibility analysis for Casson thermo‐fluidics inside a cone: Cattaneo–Christov heat flux

2022

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In this communication, thermodynamic irreversibility arising in dissipative Casson fluid flow inside a cone is investigated. The boundary-layer flow is considered wherein the motion is caused due to a point sink at the cone's vertex and the movement of the wall of the cone.The wall of the cone is subjected to mass transpiration that alters the flow and thermal regime. The cone having fluid-saturated porous medium experiences Cattaneo-Christov heat flux. The configuration admits a similarity transformation that yields a boundary value problem (BVP) comprising an ordinary differential equation. The BVP is treated by the fourth-order R-K method along with the shooting algorithm. The system yields a dual solution for momentum and energy, which gives rise to a dual regime for entropy distribution. Numerical computations provide quantities of interest viz. velocity and temperature distributions, skin friction coefficient, Nusselt number, and entropy distribution. Phenomena exhibited through profiles/tables for velocity, temperature, entropy, streamlines, and other quantities of interest reveal interesting results.

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Multiple Slip and Inspiration Effects on Hydromagnetic Casson Fluid in a Channel with Stretchable Walls

Cited by 6 publications

References 38 publications

Mathematical Solution for Free Convection Flow of Brinkman Type Fluid in the Channel with the Effect of Accelerated Plate

Mathematical Solution for Free Convection Flow of Brinkman Type Fluid in the Channel with the Effect of Accelerated Plate

Numerical modeling of unsteady MHD flow of Casson fluid in a vertical surface with chemical reaction and Hall current

Irreversibility analysis for Casson thermo‐fluidics inside a cone: Cattaneo–Christov heat flux

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