Effects of Suction and Freestream Velocity on a Hydromagnetic Stagnation-Point Flow and Heat Transport in a Newtonian Fluid Toward a Stretching Sheet

Siddheshwar, P. G.; Meenakshi, N.

doi:10.1115/1.4033460

Cited by 4 publications

(5 citation statements)

References 19 publications

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“…The relevant boundary conditions at the sheet and in the free stream are given by Siddheshwar et al (2014) AND Siddheshwar and Meenakshi (2016):…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…To obtain a local similarity solution for the modeled problem, the transformations are as follows (Siddheshwar and Meenakshi, 2016):…”

Section: Momentum Equationmentioning

confidence: 99%

“…The MHD flow of a Boussinesq-Stokes suspension because of an exponentially stretching sheet was examined by Siddheshwar et al (2014). There have been many studies investigating flow because of exponentially stretching surface (Reddy and Reddy, 2012;Jat and Chand, 2013;Wong et al, 2014;Siddheshwar and Meenakshi, 2016;Bachok et al, 2012;Hayat et al, 2014;Rehman et al, 2013;Besthapu et al, 2017;Hayat et al, 2017;Shojaei et al, 2019;Hosseinzadeh et al, 2019c;Hosseinzadeh et al, 2020a;Hosseinzadeh et al, 2020c;Gholinia et al, 2020).…”

Section: Introductionmentioning

confidence: 99%

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Darcy–Forchheimer flow of a magneto-radiated couple stress fluid over an inclined exponentially stretching surface with Ohmic dissipation

Das

Ali

Jana

2020

WJE

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Purpose In this communication, a theoretical simulation is aimed to characterize the Darcy–Forchheimer flow of a magneto-couple stress fluid over an inclined exponentially stretching sheet. Stokes’ couple stress model is deployed to simulate non-Newtonian microstructural characteristics. Two different kinds of thermal boundary conditions, namely, the prescribed exponential order surface temperature (PEST) and prescribed exponential order heat flux, are considered in the heat transfer analysis. Joule heating (Ohmic dissipation), viscous dissipation and heat source/sink impacts are also included in the energy equation because these phenomena arise frequently in magnetic materials processing. Design/methodology/approach The governing partial differential equations are transformed into nonlinear ordinary differential equations (ODEs) by adopting suitable similar transformations. The resulting system of nonlinear ODEs is tackled numerically by using the Runge–Kutta fourth (RK4)-order numerical integration scheme based on the shooting technique. The impacts of sundry parameters on stream function, velocity and temperature profiles are viewed with the help of graphical illustrations. For engineering interests, the physical implication of the said parameters on skin friction coefficient, Nussult number and surface temperature are discussed numerically through tables. Findings As a key outcome, it is noted that the augmented Chandrasekhar number, porosity parameter and Forchhemeir parameter diminish the stream function as well as the velocity profile. The behavior of the Darcian drag force is similar to the magnetic field on fluid flow. Temperature profiles are generally upsurged with the greater magnetic field, couple stress parameter and porosity parameter, and are consistently higher for the PEST case. Practical implications The findings obtained from this analysis can be applied in magnetic material processing, metallurgy, casting, filtration of liquid metals, gas-cleaning filtration, cooling of metallic sheets, petroleum industries, geothermal operations, boundary layer resistors in aerodynamics, etc. Originality/value From the literature review, it has been found that the Darcy–Forchheimer flow of a magneto-couple stress fluid over an inclined exponentially stretching surface with heat flux conditions is still scarce. The numerical data of the present results are validated with the already existing studies under limited cases and inferred to have good concord.

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“…The relevant boundary conditions at the sheet and in the free stream are given by Siddheshwar et al (2014) AND Siddheshwar and Meenakshi (2016):…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…To obtain a local similarity solution for the modeled problem, the transformations are as follows (Siddheshwar and Meenakshi, 2016):…”

Section: Momentum Equationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Darcy–Forchheimer flow of a magneto-radiated couple stress fluid over an inclined exponentially stretching surface with Ohmic dissipation

Das

Ali

Jana

2020

WJE

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“…In addition, the flow mechanics research for stagnation-point flow of power-law liquids taking place in the surface was studied by Pan et al (2016) and Dholey (2018). Besides, more investigations focus on stagnation-point flow under different liquids can be shown in in the following references: Mahapatra et al (2012), Pop et al (2016), Ibrahim and Makinde (2016), Siddheshwar and Meenakshi (2016), Bai et al (2019), Sivasankaran et al (2017).…”

Section: Introductionmentioning

confidence: 99%

Stagnation-point flow and heat transfer of power-law MHD fluid over a stretching surface with convective heat transferboundary condition

Xie

Wang

2021

HFF

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Purpose This paper aims to discuss the stagnation-point flow and heat transfer for power-law fluid pass through a stretching surface with heat generation effect. Unlike the previous considerations about the research on stagnation-point flow, the process of heat transfer and the convective heat transfer boundary condition use the modified Fourier’s law in which the heat flux is power-law-dependent on velocity gradient. Design/methodology/approach The similarly transformation is used to convert the governing partial differential equations into a series of ordinary differential equations which are solved analytically by using the differential transform method and the base function method. Findings The variations of the velocity and temperature fields for different specific related parameters are graphically discussed and analyzed. There is a special phenomenon that all the velocity profiles converge from the initial value of velocity to stagnation parameter values. And the larger power-law index enhancesthe momentum diffusion. A significant phenomenon can be observed that the larger power-law index causes a decline in the heat flux. This influence indicates that the higher viscosity restricts the heat transfer. Furthermore, both velocity gradient and temperature gradient play an indispensable role in the processes of heat transfer. Originality/value This paper researches the process of heat transfer of stagnation-point flow ofpower-law magneto-hydro-dynamical fluid over a stretching surface with modified convective heat transfer boundary condition.

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“…fluid has some prescribed velocity. Many researchers analyzed the effect of the outer velocity and stagnation-point flow over stretching surfaces [5][6][7][8][9][10][11][12]. Mukhopadhyay and Layek [13] study the impact of variable viscosity on stretching sheet in presence of heat source/sink and reported that the thermal boundary layer increases in the presence of internal heat source.…”

Section: Introductionmentioning

confidence: 99%

Effect of Aligned Magnetic Field and Inclined Outer Velocity in Casson Fluid Flow Over a Stretching Sheet With Heat Source

Devi

Poply²,

Mala

2021

Journal of Thermal Engineering

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The purpose of this study was to assess the effect of the inclined outer velocity on heat and flow transportation in boundary layer Casson fluid over a stretching sheet. The flow is adopted to have non-orthogonal magnetic field with heat generation in the uniform manner on stretching surface. It has been taken that in both the directions along the xaxis, the sheet is stretched. By applying similarity transformations, the governing equations representing the heat and flow transportation are converted to ordinary differential equations. Runge-Kutta Fehlberg approach was adopted to solve numerically the moulded differential equations with the help of shooting technique. The flow is also governed by the heat source parameter, Casson fluid parameter, magnetic parameter, Prandtl number, aligned angle of magnetic field and the impinging angle parameter. The results revealed that velocity decreases with an increase in Casson fluid parameter, magnetic parameter and aligned angle of magnetic field for the case of outer velocity parameter less than one while velocity increases for the case of outer velocity parameter greater than one because of the inverted boundary layer formation for velocity profile in second case. Also, the fluid temperature increases (for the case of outer velocity parameter less than one) and temperature decreases (for the case of outer velocity parameter greater than one) with an increase in Casson fluid parameter, impinging angle parameter and aligned angle parameter. The results indicate that outer velocity and aligned magnetic field has a significant impact on fluid temperature and velocity. The behaviour of emerging fluid parameters on fluid temperature and velocity are depicted graphically and their effect on local Nusselt number () and skin friction coefficient are represented by tables. The finding of this study may serve as to control the rate of heat transportation and fluid velocity in many manufacturing processes and industrial applications to make the desired quality of final product. Acceptance of the extant technique used in current study is correlated with the existing outcomes in the literature.

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Effects of Suction and Freestream Velocity on a Hydromagnetic Stagnation-Point Flow and Heat Transport in a Newtonian Fluid Toward a Stretching Sheet

Cited by 4 publications

References 19 publications

Darcy–Forchheimer flow of a magneto-radiated couple stress fluid over an inclined exponentially stretching surface with Ohmic dissipation

Darcy–Forchheimer flow of a magneto-radiated couple stress fluid over an inclined exponentially stretching surface with Ohmic dissipation

Stagnation-point flow and heat transfer of power-law MHD fluid over a stretching surface with convective heat transferboundary condition

Effect of Aligned Magnetic Field and Inclined Outer Velocity in Casson Fluid Flow Over a Stretching Sheet With Heat Source

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