Abstract
The chemically reactive viscous incompressible electrically conducting free convective flow of Rivlin-Ericksen fluid along a vertical semi-infinite moving permeable plate enriched in the porous material with existence of crosswise magnetic field and pressure gradient in the presence of variable suction has been considered. The study of heat transfer due to magnetic field is also done. The heat, continuity, and mass equations are solved, and their respective results are shown through graphs. In addition to that, Nusselt number, skin friction coefficient, and Sherwood number are also measured and depicted through tables. It was concluded from the actual study that highly chemically reacting Rivlin-Ericksen fluid flow becomes slow, but it can be accelerated for the values of high mass buoyancy.
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Abbreviations
- \(\overline{C}\) :
-
Species concentration
- \(\bar{t}\) :
-
Time
- \(\bar{u}\) :
-
Fluid velocity along the plate
- y :
-
Non-dimensional distance along y-axis
- \(\beta\) :
-
Volumetric coefficient of expansion with species concentration
- M :
-
Hartmann number
- \(K_{1}\) :
-
Chemical reaction parameter
- \(\alpha\) :
-
Thermal diffusivity
- K p :
-
Porosity parameter
- g :
-
Acceleration due to gravity
- \(\gamma\) :
-
Chemical reaction coefficient
- \(\in\) :
-
A small positive constant
- \(\rho\) :
-
Fluid density
- \(B_{0}\) :
-
Magnetic field of even strength
- \(\upsilon\) :
-
Kinematic viscosity
- Sc :
-
Schmidt number
- \(\tau\) :
-
Skin friction
- v :
-
Non-dimensional velocity normal the plate
- \(\overline{C}_{w}\) :
-
Species concentration at wall
- \(\overline{T}_{\infty }\) :
-
Fluid temperature far from the surface
- \(\overline{T}_{w}\) :
-
Wall temperature
- \(\overline{K} p\) :
-
Permeability of the medium
- \(\overline{T}\) :
-
Temperature of the fluid
- \(\bar{y}\) :
-
Distance along y-axis
- θ :
-
Dimensionless fluid temperature
- Rc :
-
Dimensionless viscoelastic parameter of the Rivlin-Ericksen fluid
- t :
-
Non-dimensional time
- u :
-
Non-dimensional velocity along the plate
- Ec :
-
Eckert number
- \(\overline{U}_{\infty }\) :
-
Free stream velocity
- D :
-
Mass diffusivity
- U p :
-
Constant velocity of moving plate
- \(\bar{v}\) :
-
Velocity of the fluid in y direction
- Nu :
-
Nusselt number
- Gc :
-
Grashof number for mass transfer
- Sh :
-
Sherwood number
- Pr :
-
Prandtl number
- \(C_{f}\) :
-
Skin friction coefficient
- σ :
-
Electrical conductivity
- C :
-
Non-dimensional species of concentration
- \(\overline{C}_{\infty }\) :
-
Species concentration far from the surface
- K 0 :
-
Kinematic viscoelasticity
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Sharma, P., Saboo, R. (2018). Chemically Reactive-Free Convective MHD Flow of Rivlin-Ericksen Fluid Past a Movable Vertical Plate Enriched in Porous Material. In: Singh, M., Kushvah, B., Seth, G., Prakash, J. (eds) Applications of Fluid Dynamics . Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-10-5329-0_33
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DOI: https://doi.org/10.1007/978-981-10-5329-0_33
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