Unsteady squeezed Casson nanofluid flow by considering the slip condition and time‐dependent magnetic field

Heat Transfer ◽  
2020 ◽  
Vol 49 (8) ◽  
pp. 4907-4922
Author(s):  
Manjappa Archana ◽  
Mundalamane Manjappa Praveena ◽  
Kondlahalli Ganesh Kumar ◽  
Sabir Ali Shehzad ◽  
Manzoor Ahmad
2020 ◽  
Vol 9 (1) ◽  
pp. 201-222 ◽  
Author(s):  
Usha Shankar ◽  
Neminath B. Naduvinamani ◽  
Hussain Basha

AbstractPresent research article reports the magnetized impacts of Cattaneo-Christov double diffusion models on heat and mass transfer behaviour of viscous incompressible, time-dependent, two-dimensional Casson nanofluid flow through the channel with Joule heating and viscous dissipation effects numerically. The classical transport models such as Fourier and Fick’s laws of heat and mass diffusions are generalized in terms of Cattaneo-Christov double diffusion models by accounting the thermal and concentration relaxation times. The present physical problem is examined in the presence of Lorentz forces to investigate the effects of magnetic field on double diffusion process along with Joule heating. The non-Newtonian Casson nanofluid flow between two parallel plates gives the system of time-dependent, highly nonlinear, coupled partial differential equations and is solved by utilizing RK-SM and bvp4c schemes. Present results show that, the temperature and concentration distributions are fewer in case of Cattaneo-Christov heat and mass flux models when compared to the Fourier’s and Fick’s laws of heat and mass diffusions. The concentration field is a diminishing function of thermophoresis parameter and it is an increasing function of Brownian motion parameter. Finally, an excellent comparison between the present solutions and previously published results show the accuracy of the results and methods used to achieve the objective of the present work.


2020 ◽  
Vol 14 ◽  
Author(s):  
Hamzeh T. Alkasasbeh ◽  
Mohammed Z. Swalmeh ◽  
Hebah G. Bani Saeed ◽  
Feras M. Al Faqih ◽  
Adeeb G. Talafha

Author(s):  
Riya Ghosh ◽  
Titilayo M. Agbaje ◽  
Sabyasachi Mondal ◽  
Sachin Shaw

Bio-convection is an important phenomenon which is described by hydrodynamic instability and pattern in suspension of biased swimming microorganisms. This hydrodynamics instability arises due to the coupling force between the motion of the micoorganisms and fluid flow. It becomes more significant when nanoparticles are immersed in the base fluid with non-Newtonian rheology. This study presents the bio-convection for a viscoelastic Casson nanofluid flow over a stretching sheet. The Cattaneo–Christov double diffusion, induced magnetic field, thermal radiation, heat generation, viscous dissipation and chemical reaction are taken into account. The boundary condition is enriched with the suction / injection and melting phenomena at the surface. Highly coupled nonlinear governing equations are simplified into a system of coupled ordinary differential equation by using proper similarity transformation. The spectral quasi-linearization method (SQLM) is used to solve the transformed governing equations numerically. Good agreement is observed with the numerical data investigated in the previous outstanding works. It is observed that the density of the motile microorganisms depends on Peclet number and bio-convective Lewis number. Bio-convection Rayleigh number increases the possibility of bio-convection in the system which results in the enhancement of temperature. It is also examined that temperature and concentration profiles increase with the Eckert number and thermophoresis parameter.


Author(s):  
Ravikumar Shashikala Varun Kumar ◽  
Prasanna Gunderi Dhananjaya ◽  
Rangaswamy Naveen Kumar ◽  
Ramanahalli Jayadevamurthy Punith Gowda ◽  
Ballajja Chandrappa Prasannakumara

Author(s):  
T. W. Akaje ◽  
B. I. Olajuwon

Present paper studies the thermal-diffusion and diffusion-thermo effects on Casson nanofluid flow in the presence of chemical reaction with inclined magnetic field. A similarity analysis was used to transform the system of partial differential equations, together with boundary conditions into a system of dimensionless couple ordinary differential equations. A robust spectral collocation method has been adopted to obtain the solution of the transformed flow equations with corresponding boundary conditions. The impact of various controlling parameters on dimensionless velocity, temperature and nanoparticle concentration are presented graphically and discussed. The effect of the flow pertinent parameters on skin friction, Nusselt number and Sherwood number are presented in tabular form. Finally, an increase in Prandtl number and thermophoresis parameter reduce the temperature field of the flow, while increase in Eckert number enhanced the temperature profile.


2021 ◽  
Vol 6 (1) ◽  
pp. 4
Author(s):  
Vladimir Kogan ◽  
Norio Nakagawa

The magnetic field hz of a moving Pearl vortex in a superconducting thin-film in (x,y) plane is studied with the help of the time-dependent London equation. It is found that for a vortex at the origin moving in +x direction, hz(x,y) is suppressed in front of the vortex, x>0, and enhanced behind (x<0). The distribution asymmetry is proportional to the velocity and to the conductivity of normal quasiparticles. The vortex self-energy and the interaction of two moving vortices are evaluated.


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