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EN
In this study numerical solutions for magnetohydrodynamic transfer, thermal and mass instability, free convection flow through the plate before Casson fluid, heat dissipation, thermal radiation, heat sink, chemical reaction, tilt angle, and saturated porous medium were described. The effectiveness of this study is to analyze the effect of heat diffusion, Casson fluid, the angle of interest on the flow phenomenon of Cu-nanoparticles in the presence of thermal radiation, heat source/heat sink, destructive reaction, heat transfer and mass transfer in a simple way. The finite difference method was used to solve the governing equations which are the added partial differential equations. The effects of different material parameters on velocity, temperature and concentration profiles are explained using graphs and tables. The results are compared with previously published papers and a very good agreement is found. In the boundary layer region, fluid velocity decreases with the increasing values of magnetic field parameter, heat source/sink, Casson fluid, angle of inclination and thermal radiation parameter for Cu-nanoparticles. Also it is noticed that the solutal boundary layer thickness decreases with an increase in the chemical reaction parameter. It is because chemical molecular diffusivity reduces for higher values of Kr.
EN
In this paper, the inherent irreversibility in a Casson fluid flow through a rotating permeable microchannel with wall slip and Hall current is investigated. It is assumed that the lower wall is subjected to the velocity slip and fluid injection while the fluid suction occurs at the upper wall. The nonlinear governing equations of momentum and energy balance are obtained, analyzed and solved numerically using the shooting technique together with the Runge-Kutta-Fehlberg integration method. Pertinent results depicting the effects of various embedded thermophysical parameters on the fluid velocity, temperature, skin friction, the Nusselt number, entropy generation rate and the Bejan number are presented graphically and discussed. It is found that the entropy generation rate is enhanced by fluid rotation and velocity slip but lessened with a rise magnetic field intensity. Our results will undoubtedly augment the design and efficient operation of micro-cooling devices, micro-heat exchangers, micropumps and micro-mixing technologies.
EN
In this investigation, we analyze the magnetohydrodynamic (MHD) three-dimensional (3D) flow of Casson fluid over a stretching sheet using non-Darcy porous medium with heat source/sink. We also consider the Cattaneo-Christov heat flux and Joule effect. The governing partial differential equations (PDEs) are transformed into ordinary differential equations (ODEs) using suitable transformations and solved by using the shooting technique. The effects of the non-dimensional governing parameters on velocity and temperature profiles are discussed with the graphs. Also, the skin friction coefficient and Nusselt number are discussed through tables. We also validate our results with the ones already available in the literature. It is found that the obtained results are in excellent agreement with the existing studies under some special cases. Our analysis reveals that the thermal relaxation parameter reduces the temperature field for the Newtonian and non-Newtonian fluid cases. It is also found that the temperature profile is decreased in the Newtonian fluid case when compared with the non-Newtonian fluid case.
EN
The convective Casson fluid flow past a Riga plate is investigated theoretically. The flow properties are elucidated through the analytical solutions of transport equations which are acquired by adopting the Laplace transform technique. This study mainly focuses on nonlinear flow characteristics under radiation, permeability and the wall parallel Lorentz force. The positive modified Hartmann number refers to the aiding flow which enhances the flow speed. The comparison between Newtonian and non-Newtonian fluid flow subject to the wall parallel Lorentz force has also been done graphically. Further, the results of this Casson fluid flow model correlated with the vertical flow under buoyancy effect.
EN
This theoretical research work deals with the effect of aligned magnetic field flow and heat transfer of carbon nanotubes towards a nonlinear stretching sheet. In addition, we have considered two kinds of carbon nanotubes, namely SWCNTs and MWCNTs, used with water as the base fluid. The governing boundary layer flow equations narrating partial differential equations are transformed into a system of ordinary differential equations with the assistance of similarity transformation. Obtained coupled non-linear differential equations are solved by fourth-order Runge-Kutta (R-K) method along with shooting technique. A comparative study of the formerly published results and the present results for a special case shows that all these results are in an excellent agreement.
6
Content available remote Circular Pipe Flow of a Dusty Casson Fluid Considering the Hall Effect
EN
In this paper, the transient flow of a dusty viscous incompressible electrically conducting non-Newtonian Casson fluid through a circular pipe is studied taking the Hall effect into consideration. A constant pressure gradient in the axial direction and an uniform magnetic field directed perpendicular to the flow direction are applied. The particle-phase is assumed to behave as a viscous fluid. A numerical solution is obtained for the governing nonlinear equations using finite differences.
EN
Many fluids with microstructure demonstrate viscoplastic behaviours. Rheological measurements indicate that flows of these fluids may be modelled as flows of the Casson fluid. Our concern in the paper was to examine the pressurized flow of a simple Casson fluid in a thin clearance between two fixed surfaces of revolution. In order to solve this problem, the boundary layer equations were used. The effects of inertia forces on pressure distribution are examined by using the method of averaged inertia. Numerical examples of externally pressurized flows in the clearance between parallel disks and concentric spherical surfaces are presented.
PL
Wiele płynów z mikrostrukturą przejawia zachowania lepkoplastyczne. Reologiczne pomiary wskazują, że przepływy tych płynów można modelować jako przepływy płynu Cassona. Naszym celem w tym opracowaniu jest zbadanie ciśnieniowego przepływu prostego płynu Cassona w cienkiej szczelinie między dwiema nieruchomymi powierzchniami obrotowymi. Aby rozwiązać to zadanie, użyto równań warstwy przyściennej. Zbadano wpływ sił bezwładności na rozkład ciśnienia, stosując metodę uśrednionej bezwładności. Przedstawiono przykłady przepływów ciśnieniowych w szczelinie pomiędzy równoległymi tarczami i w szczelinie pomiędzy współśrodkowymi powierzchniami kulistymi.
8
Content available remote Perturbation methods applied to the helical flow of a Casson fluid
EN
The helical flow of a Casson fluid between infinitely long coaxial cylinders is analyzed, when the inner cylinder has a given constant angular velocity, and a constant axial flow rate is imposed. Perturbation methods are applied in two circumstances of physical interest - that of low axial flow rates; and that of small intercylindrical gap width - to yield approximate expressions describing the fluid velocity field; and the Reiner-Riwlin equation, the fundamental relationship linking the angular velocity of the inner cylinder, the torque experienced there, and the given axial flow rate. The accuracy of these expressions is tested by comparison with solutions generated using numerical computation.
9
EN
A theoretical analysis of heat transfer of steady, incompressible and electrically conducting non-Newtonian Casson fluid flow between two rotating cylinders under a radial magnetic field is studied. The problem is considered when the inner cylinder is at rest and the outer cylinder rotating with a constant velocity. In this paper, the velocity distribution, magnetic induction, the temperature distribution, stress, shear rates and rate of heat transfer are obtained analytically by using perturbation technique and shown graphically for various values of aspect ratio, Casson number, Eckert number and magnetic parameter. The critical values of Casson number have been determined.
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