The magnetohydrodynamic flow of a nanofluid over a curved exponentially stretching surface

Heat Transfer ◽  
2021 ◽  
Author(s):  
Muhammad Jawad ◽  
Anwar Saeed ◽  
Taza Gul ◽  
Arshad Khan
Keyword(s):  
Magnetohydrodynamic Flow ◽  
Stretching Surface ◽  
Exponentially Stretching Surface ◽  
Exponentially Stretching

scholarly journals Rotating flow of nanofluid due to exponentially stretching surface: An optimal study

2019 ◽  
Vol 13 ◽  
pp. 174830261988136 ◽  
Author(s):  
Syed Tauseef Mohyud-Din ◽  
Muhammad Hamid ◽  
Muhammad Usman ◽  
Afshan Kanwal ◽  
Tamour Zubair ◽  
...  
Keyword(s):  
Transfer Rate ◽  
Stretching Sheet ◽  
Cuo Nanoparticles ◽  
Shear Stresses ◽  
Stretching Surface ◽  
Physical Problems ◽  
Runge Kutta Method ◽  
Exponentially Stretching Surface ◽  
Effects Of Rotation ◽  
Exponentially Stretching

In this article, the presented study is based on a modification in Gegenbauer wavelets method. The modeled problem is presented to analyze the phenomena of transfer of heat of rotating nanofluids in which the flow is produced by an exponentially stretching sheet. The purpose of this study is to examine the simultaneous effects of rotation of nanofluid and exponentially stretching on the shear stresses and heat transfer rate, cooling proficiency of water-based nanofluids containing Ag, Cu, Al2O3, TiO2, and CuO nanoparticles, and modification in Gegenbauer wavelets method to obtain the numerical solution of the said problem. A comparative analysis is presented among the outcomes obtained by modified Gegenbauer wavelets method, Runge–Kutta method of order-4, and already existing methods. The comparison shows that this modification is extremely efficient, and proposed technique could be extended for other physical problems.

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

2020 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
S. Das ◽  
Akram Ali ◽  
R.N. Jana
Keyword(s):  
Couple Stress ◽  
Couple Stress Fluid ◽  
Temperature Profiles ◽  
Stretching Surface ◽  
Ohmic Dissipation ◽  
Content Type ◽  
Exponential Order ◽  
Exponentially Stretching Surface ◽  
Exponentially Stretching ◽  
Forchheimer Flow

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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