scholarly journals A Study on Numerical Solutions for Rotating Flows of a Third Grade Fluid with Partial Slip Conditions

2014 ◽  
Vol 10 (6) ◽  
pp. 14-20
Author(s):  
R Lakshmi[ ◽  
◽  
S Maheswari
Keyword(s):  
Numerical Solutions ◽  
Rotating Flows ◽  
Third Grade ◽  
Partial Slip ◽  
Third Grade Fluid ◽  
Slip Conditions ◽  
Grade Fluid

scholarly journals Stabilized approximation of steady flow of third grade fluid in presence of partial slip

2017 ◽  
Vol 7 ◽  
pp. 3181-3189 ◽  
Author(s):  
Amer Rasheed ◽  
Azka Kausar ◽  
Abdul Wahab ◽  
Tanvir Akbar
Keyword(s):  
Steady Flow ◽  
Third Grade ◽  
Partial Slip ◽  
Third Grade Fluid ◽  
Grade Fluid

Effects of partial slip on flow of a third grade fluid

2006 ◽  
Vol 22 (5) ◽  
pp. 393-396 ◽  
Author(s):  
S. Asghar ◽  
M. Mudassar Gulzar ◽  
M. Ayub
Keyword(s):  
Third Grade ◽  
Partial Slip ◽  
Third Grade Fluid ◽  
Grade Fluid

scholarly journals Significance of Mixed Convection and Arrhenius Activation Energy in a Non-Newtonian Third Grade Fluid Flow Containing Gyrotactic Microorganisms Towards Stretching Surface

2021 ◽  
Author(s):  
Abdullah Dawar ◽  
Saeed Islam ◽  
Zahir Shah ◽  
Poom Kumam
Keyword(s):  
Activation Energy ◽  
Numerical Solutions ◽  
Manufacturing Sector ◽  
Third Grade ◽  
Third Grade Fluid ◽  
Stretching Surface ◽  
Arrhenius Activation Energy ◽  
Gyrotactic Microorganisms ◽  
Similarity Transformations ◽  
Grade Fluid

Abstract In most scenarios of concern, the bulk of fluids treated by researchers and engineers, such as air, water, and oils, can be considered as Newtonian. The inference of Newtonian action however is not true in many situations and the much more complicated non-Newtonian reaction should be superimposed. Such situations exist in the chemical manufacturing sector and the plastics processing plants. Here, we present the mixed convective flow of non-Newtonian third grade fluid containing gyrotactic microorganisms through a stretching surface. The flow is considered as unsteady, laminar, and incompressible. Furthermore, the flow is magnetized and electrically conducting with the help of applied magnetic field. Chemical reaction along with Arrhenius activation energy and viscous dissipation influences are taken into attention. The governing PDEs are transformed to ODEs through appropriate similarity transformations. Analytical and numerical solutions of the present analysis are done with the help of incorporated codes in MATHEMATICA 10.0. Convergence of HAM is presented through Figures. Also, the outcomes of the embedded factors on the nanofluid flow are displayed through Figures.

Parallel Plate Flow of a Third-Grade Fluid and a Newtonian Fluid With Variable Viscosity

2016 ◽  
Vol 71 (7) ◽  
pp. 595-606
Author(s):  
Volkan Yıldız ◽  
Mehmet Pakdemirli ◽  
Yiğit Aksoy
Keyword(s):  
Newtonian Fluid ◽  
Parallel Plate ◽  
Numerical Solutions ◽  
Variable Viscosity ◽  
Third Grade ◽  
Third Grade Fluid ◽  
Regular Perturbation ◽  
Approximate Analytical Solutions ◽  
Grade Fluid ◽  
Perturbation Solutions

AbstractSteady-state parallel plate flow of a third-grade fluid and a Newtonian fluid with temperature-dependent viscosity is considered. Approximate analytical solutions are constructed using the newly developed perturbation-iteration algorithms. Two different perturbation-iteration algorithms are used. The velocity and temperature profiles obtained by the iteration algorithms are contrasted with the numerical solutions as well as with the regular perturbation solutions. It is found that the perturbation-iteration solutions converge better to the numerical solutions than the regular perturbation solutions, in particular when the validity criteria of the regular perturbation solution are not satisfied. The new analytical approach produces promising results in solving complex fluid problems.

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