MHD Slip Flow and Heat Transfer Over an Exponentially Stretching Permeable Sheet Embedded in a Porous Medium With Heat Source

Sharma, Priya Vrat; Choudhary, Sushila; Makinde, Oluwole Daniel

doi:10.5098/hmt.9.18

Cited by 11 publications

(11 citation statements)

References 17 publications

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“…1). The Stokes-drag theory is employed to model the dustyfluid (See [24]). The relevant equations under boundary layer estimations for both fluid and dust particles phase are given by [23,29,34];…”

Section: Model Problemmentioning

confidence: 99%

“…Several applications of internal heat generation are reactor safety analyses, fire and combustion studies. It is also important to remark that in most published articles (see [21][22][23][24][25] and the references therein), the effect of internal heat source/sink is modelled either as a temperature dependent uniform heat source/sink or space dependent heat source. They all found that internal heat source process augments the thermal boundary layer growth.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Two-Phase Flow of Dusty Casson Fluid with Cattaneo-Christov Heat Flux and Heat Source Past a Cone, Wedge and Plate

Mahanthesh

Makinde

Gireesha

et al. 2018

DDF

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This article addresses the boundary layer flow and heat transfer in Casson fluid submerged with dust particles over three different geometries (vertical cone, wedge and plate). The aspects of Cattaneo-Christov heat flux and exponential space-based heat source (ESHS) are also accounted. At first, the partial differential equations are transformed into a set of ordinary differential equations via appropriate similarity transformations. Resulting equations are solved via shooting method coupled with the Runge-Kutta-Fehlberg-45 integration scheme. The consequences of dimensionless parameters on velocity and temperature fields of both fluid and dust particles phase are analyzed. The rate of increment/decrement in the skin friction as well as the Nusselt number for various values of physical parameters are also estimated via slope of linear regression line using data points.

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Section: Model Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Two-Phase Flow of Dusty Casson Fluid with Cattaneo-Christov Heat Flux and Heat Source Past a Cone, Wedge and Plate

Mahanthesh

Makinde

Gireesha

et al. 2018

DDF

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“…Bs Babu et al [5] studies the effects of non-uniform fluid viscosity and thermal conductivity on the MHD flow and heat transfer of a fluid in a vertical channel with a heat source by taking thermal slip. Sharma et al [6] examined the MHD slip flow and heat transfer of a viscous incompressible fluid across a flat exponentially nonconducting stretched porous sheet using MATLAB software. Kemparaju et al [7] examined heat transfer in MHD Newtonian fluid flow across a stretched sheet in the presence of velocity and thermal slip.…”

Section: Introductionmentioning

confidence: 99%

Numerical Study in Effect of Thermal Slip on Two Fluid Flow in a Vertical Channel

Cheruku,

Reddy

2023

TESEA

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The present study investigates the effect of thermal slip on an immiscible flow of micropolar and viscous fluids in a vertical channel. The left boundary is subjected to thermal slip with appropriate boundary and interface conditions, resulting in a linked system of nonlinear partial differential equations. The ND Solve technique in Mathematica software is used to implement the Runge-Kutta method of the sixth order. The velocity, temperature, and concentration equations are then calculated. The mass, heat, and velocity transmission rates at the boundaries were recorded for all the variations in the governing parameters. In addition, the impact of relevant parameters on various physical properties of micropolar and viscous fluids is analyzed through graphical means. The results are then discussed in detail. Thermal slip, Grashof number, molecular number, magnetic parameter, and Reynolds number are crucial factors that significantly affect heat and mass transfer in fluid flow. The effect of the increased thermal slip is noted to result in a decrease in both the velocity profile and temperature. It was also observed that higher values of Grashof and molecular Grashof numbers led to increased velocity and angular velocity.

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“…This phenomenon is often explained in terms of exponential form relations in the energy equation of fluid flow issues. Exponential heat generation is crucial in the industrial and manufacturing sectors, such as device security analysis, fire and combustion investigations 37–41 . Due to numerous significant applications, including packed‐bed regenerators, micro‐thrusters, petroleum processing, transpiration cooling, geothermal energy extraction, improving heat transfer, and many others, the convective boundary condition in liquid flow has been extensively determined experimentally for many years.…”

Section: Introductionmentioning

confidence: 99%

“…Exponential heat generation is crucial in the industrial and manufacturing sectors, such as device security analysis, fire and combustion investigations. [37][38][39][40][41] Due to numerous significant applications, including packed-bed regenerators, micro-thrusters, petroleum processing, transpiration cooling, geothermal energy extraction, improving heat transfer, and many others, the convective boundary condition in liquid flow has been extensively determined experimentally for many years. Convective heat transfer advancements are becoming increasingly important in applications like heat exchangers and electrical equipment.…”

Section: Introductionmentioning

confidence: 99%

Features of the exponential form of internal heat generation, Cattaneo–Christov heat theory on water‐based graphene–CNT–titanium ternary hybrid nanofluid flow

Nagapavani

Kanuri²,

Fareeduddin

et al. 2022

Heat Trans

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To increase energy efficiency, the flow of fluids containing nanoparticles is crucial in industrial applications notably in nuclear reactors and nuclear system cooling. In light of this, this study examines the flow of a water‐based ternary hybrid nanofluid (graphene, single‐walled carbon nanotubes, and titanium dioxide) across a curved stretching sheet with suction. The non‐Fourier heat flux model is also considered in the modeling. The existing partial differential equations are converted into ordinary differential equations through the use of similarity variables. These ordinary differential equations are then numerically solved using the Runge–Kutta–Fehlberg fourth‐ and fifth‐order method along with a shooting approach. The collection of graphical findings for the key variables on the temperature and velocity profiles is investigated. Results reveal that the heat transport in ternary hybrid nanoliquid rises as the heat source/sink parameter rises. The Biot number influences the thermal profile positively, whereas the increasing curvature parameter values reduce heat transport. The curvature parameter has a positive impact on skin friction but the suction parameter has a negative impact on skin friction.

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MHD Slip Flow and Heat Transfer Over an Exponentially Stretching Permeable Sheet Embedded in a Porous Medium With Heat Source

Cited by 11 publications

References 17 publications

Two-Phase Flow of Dusty Casson Fluid with Cattaneo-Christov Heat Flux and Heat Source Past a Cone, Wedge and Plate

Two-Phase Flow of Dusty Casson Fluid with Cattaneo-Christov Heat Flux and Heat Source Past a Cone, Wedge and Plate

Numerical Study in Effect of Thermal Slip on Two Fluid Flow in a Vertical Channel

Features of the exponential form of internal heat generation, Cattaneo–Christov heat theory on water‐based graphene–CNT–titanium ternary hybrid nanofluid flow

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