porous stretching surface
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2021 ◽  
Vol 26 ◽  
pp. 100975
Author(s):  
Yi-Xia Li ◽  
Mohammed Hamed Alshbool ◽  
Yu-Pei Lv ◽  
Ilyas Khan ◽  
M. Riaz Khan ◽  
...  

Author(s):  
Pooja P Humane ◽  
Vishwambhar S Patil ◽  
Amar B Patil

The flow of Casson–Williamson fluid on a stretching surface is considered for the study. The movement of fluid is examined under the effect of external magnetic field, thermal radiation and chemical consequences. The model is formed by considering all the physical aspects responsible for the physical mechanism. The formed mathematical model (partial differential equation) is numerically solved after transforming it into an ordinary one (ordinary differential equation) via similarity invariants. The physical mechanism for velocity, temperature, and concentration is examined through the associated parameters like radiation index, Williamson and Casson parameter, suction/injection parameter, porosity index, and chemical reaction parameter.


Fluids ◽  
2021 ◽  
Vol 6 (6) ◽  
pp. 196
Author(s):  
Tahir Naseem ◽  
Umar Nazir ◽  
Essam R. El-Zahar ◽  
Ahmed M. Algelany ◽  
Muhammad Sohail

The current research is prepared to address the transport phenomenon in a hydro-magnetized flow model on a porous stretching sheet. Mass and heat transport are modeled via temperature dependent models of thermal conductivity and diffusion coefficients. Accordingly, the involvement of radiation, chemical reaction, the Dufour effect, and the Soret effect are involved. The flow presenting expression has been modeled via boundary layer approximation and the flow is produced due to the experimental stretching sheet. The governing equations have been approximated numerically via shooting method. The efficiency of the scheme is established by including the comparative study. Moreover, a decline in the velocity field is recorded against the escalating values of the porosity parameter and the magnetic parameter.


2021 ◽  
Vol 13 (5) ◽  
pp. 168781402110198
Author(s):  
Kamran Ahmed ◽  
Tanvir Akbar

This research work describes the investigation of a magnetohydrodynamic flow of Williamson nanofluid over an exponentially porous stretching surface considering two cases of heat transfer i.e., prescribed exponential order surface temperature (PEST), and prescribed exponential order heat flux (PEHF). As a result of this infestation, a mathematical model of the problem based on conservation of linear momentum and law of conservation of mass and energy is developed. Whereas governing nonlinear partial differential equations (PDEs) are converted to nonlinear ordinary differential equations (ODEs). Subsequently, the velocity, concentration, and temperature profiles are developed by using the method of similarity transformation. Furthermore, the effects of various physical parameters of engineering interests are demonstrated graphically. It is highlighted that both the magnetic parameter [Formula: see text] and Williamson parameter [Formula: see text] causes to reduce the boundary layer thickness.


In this work, the permeable system of a viscous fluid which impacts a porous stretching surface by heat generation, an investigation has been conducted on a steady laminar flow. Governing equations are converted into nonlinear ordinary differential equations by using the similarities and the solutions are obtained by using the shooting technique. The influences of the dimensionless parameters on the momentum and energy equations. Impacts on together flow and heat transfer from porosity, stretching of the medium of the velocity of the surface and heat generation /absorption factor are exhibited through graphs and deliberated.


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