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MHD Double‐diffusive thermosolutal Marangoni convection non‐Newtonian Casson fluid flow over a permeable stretchable sheet
In the present paper, we have discussed the thermosolutal Marangoni force acting on the electrically conducting Casson fluid flow over a permeable horizontal stretching surface. It is presumed that the condition at the interfaces is influenced by the surface tension, which is proportional to the temperature and concentration profiles. At the interface, both concentration and temperature are heated in such a way that they are quadratic functions in Furthermore, we have introduced the magnetic field in the transverse direction of the fluid flow along with heat generation/absorption, thermal radiation, viscous dissipation, and first‐order chemical effect with heat and mass flux into the present system. Similarity transformations have been used to convert the system of the nonlinear partial differential equations into a system of nonlinear ordinary differential equations (ODEs). The reduced ODEs are then solved using the MATLAB program bvp4c, which is based on the fourth‐order Runge‐Kutta and shooting method. The impact of various pertinent flow parameters on the flow field, temperature, and species concentration has been studied through graphs. To know the characteristics of shear stress, heat and mass rate near the boundary, numerical values of them are also calculated and given in the tabular form. The results show that the momentum boundary layer's thickness is getting thicker with an increase in solutal surface tension ratio, while its opposite trends have been observed in the thermal boundary layer region, this is due to the Marangoni effect. This Marangoni effect is very much important in the field of melting metals, crystal growth, welding, and electron beam.
Highlights of the present manuscript are:
We have discussed the influence of the Marangoni convection on the non‐Newtonian Casson fluid flow over a permeable stretching sheet.
Marangoni convection is based on the surface tension variation due to variations of the surfactant concentration and temperature.
Influences of the non‐Newtonian nature of the fluid have been studied in the form of the Casson parameter.
The governing equations of the model are also incorporated with the heat and mass flux along with the viscous dissipation term to analyze their effects on the system.
Due to the significant contribution of the parameters like radiation, heat absorption/generation, and chemical reaction of the first‐order in the flow field, those terms are also being considered in the present system.
MHD Double‐diffusive thermosolutal Marangoni convection non‐Newtonian Casson fluid flow over a permeable stretchable sheet
In the present paper, we have discussed the thermosolutal Marangoni force acting on the electrically conducting Casson fluid flow over a permeable horizontal stretching surface. It is presumed that the condition at the interfaces is influenced by the surface tension, which is proportional to the temperature and concentration profiles. At the interface, both concentration and temperature are heated in such a way that they are quadratic functions in Furthermore, we have introduced the magnetic field in the transverse direction of the fluid flow along with heat generation/absorption, thermal radiation, viscous dissipation, and first‐order chemical effect with heat and mass flux into the present system. Similarity transformations have been used to convert the system of the nonlinear partial differential equations into a system of nonlinear ordinary differential equations (ODEs). The reduced ODEs are then solved using the MATLAB program bvp4c, which is based on the fourth‐order Runge‐Kutta and shooting method. The impact of various pertinent flow parameters on the flow field, temperature, and species concentration has been studied through graphs. To know the characteristics of shear stress, heat and mass rate near the boundary, numerical values of them are also calculated and given in the tabular form. The results show that the momentum boundary layer's thickness is getting thicker with an increase in solutal surface tension ratio, while its opposite trends have been observed in the thermal boundary layer region, this is due to the Marangoni effect. This Marangoni effect is very much important in the field of melting metals, crystal growth, welding, and electron beam.
Highlights of the present manuscript are:
We have discussed the influence of the Marangoni convection on the non‐Newtonian Casson fluid flow over a permeable stretching sheet.
Marangoni convection is based on the surface tension variation due to variations of the surfactant concentration and temperature.
Influences of the non‐Newtonian nature of the fluid have been studied in the form of the Casson parameter.
The governing equations of the model are also incorporated with the heat and mass flux along with the viscous dissipation term to analyze their effects on the system.
Due to the significant contribution of the parameters like radiation, heat absorption/generation, and chemical reaction of the first‐order in the flow field, those terms are also being considered in the present system.
MHD Double‐diffusive thermosolutal Marangoni convection non‐Newtonian Casson fluid flow over a permeable stretchable sheet
Mahanta, Ganeswar (author) / Das, Mrutyunjay (author) / Shaw, Sachin (author) / Mahala, Biranchi Kumar (author)
Heat Transfer ; 49 ; 1788-1807
2020-06-01
20 pages
Article (Journal)
Electronic Resource
English
| British Library Online Contents | 2013