Effect of Brownian motion on MHD stagnation-point flow of Casson nanofluid due to a stretching sheet with zero normal flux

2020 ◽  
Author(s):  
Rama Udai Kumar ◽  
Sucharitha Joga ◽  
Srinivasulu Thadakamalla
Keyword(s):  
Brownian Motion ◽  
Stagnation Point ◽  
Stretching Sheet ◽  
Stagnation Point Flow ◽  
Casson Nanofluid

scholarly journals Boundary Layer Stagnation-Point Flow Toward a Stretching/Shrinking Sheet in a Nanofluid

2013 ◽  
Vol 135 (5) ◽  
Author(s):  
Norfifah Bachok ◽  
Anuar Ishak ◽  
Ioan Pop
Keyword(s):  
Brownian Motion ◽  
Stagnation Point ◽  
Stretching Sheet ◽  
Fluid Velocity ◽  
Lewis Number ◽  
Stagnation Point Flow ◽  
Shrinking Sheet ◽  
Ambient Fluid ◽  
Increasing Function ◽  
Local Sherwood Number

An analysis is carried out to study the steady two-dimensional stagnation-point flow of a nanofluid over a stretching/shrinking sheet in its own plane. The stretching/shrinking velocity and the ambient fluid velocity are assumed to vary linearly with the distance from the stagnation point. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis. A similarity solution is presented which depends on the Prandtl number Pr, Lewis number Le, Brownian motion parameter Nb and thermophoresis parameter Nt. It is found that the local Nusselt number is a decreasing function, while the local Sherwood number is an increasing function of each parameters Pr, Le, Nb, and Nt. Different from a stretching sheet, the solutions for a shrinking sheet are nonunique.

Stagnation-Point Flow over an Exponentially Shrinking/Stretching Sheet

2011 ◽  
Vol 66 (12) ◽  
pp. 705-711 ◽  
Author(s):  
Sin Wei Wong ◽  
Abu Omar Awang ◽  
Anuar Ishak
Keyword(s):  
Differential Equations ◽  
Stagnation Point ◽  
Stretching Sheet ◽  
Free Stream ◽  
Stagnation Point Flow ◽  
Stream Velocity ◽  
Heat Transfer Characteristics ◽  
Keller Box Method ◽  
Flow And Heat Transfer ◽  
Box Method

The steady two-dimensional stagnation-point flow of an incompressible viscous fluid over an exponentially shrinking/stretching sheet is studied. The shrinking/stretching velocity, the free stream velocity, and the surface temperature are assumed to vary in a power-law form with the distance from the stagnation point. The governing partial differential equations are transformed into a system of ordinary differential equations before being solved numerically by a finite difference scheme known as the Keller-box method. The features of the flow and heat transfer characteristics for different values of the governing parameters are analyzed and discussed. It is found that dual solutions exist for the shrinking case, while for the stretching case, the solution is unique.

scholarly journals Fractional order stagnation point flow of the hybrid nanofluid towards a stretching sheet

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Anwar Saeed ◽  
Muhammad Bilal ◽  
Taza Gul ◽  
Poom Kumam ◽  
Amir Khan ◽  
...  
Keyword(s):  
Stagnation Point ◽  
Fractional Order ◽  
Transition Rate ◽  
Stretching Sheet ◽  
Stagnation Point Flow ◽  
Hybrid Nanofluid ◽  
Fractional Order Differential Equations ◽  
Classical Calculus ◽  
Electric And Magnetic Fields ◽  
Heat Transition

AbstractFractional calculus characterizes a function at those points, where classical calculus failed. In the current study, we explored the fractional behavior of the stagnation point flow of hybrid nano liquid consisting of TiO2 and Ag nanoparticles across a stretching sheet. Silver Ag and Titanium dioxide TiO2 nanocomposites are one of the most significant and fascinating nanocomposites perform an important role in nanobiotechnology, especially in nanomedicine and for cancer cell therapy since these metal nanoparticles are thought to improve photocatalytic operation. The fluid movement over a stretching layer is subjected to electric and magnetic fields. The problem has been formulated in the form of the system of PDEs, which are reduced to the system of fractional-order ODEs by implementing the fractional similarity framework. The obtained fractional order differential equations are further solved via fractional code FDE-12 based on Caputo derivative. It has been perceived that the drifting velocity generated by the electric field E significantly improves the velocity and heat transition rate of blood. The fractional model is more generalized and applicable than the classical one.

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