Fractional derivatives: a numerical insight into flow problems involving second grade fluid under fuzzy environment

2021 ◽  
Author(s):  
Gourangajit Borah ◽  
Palash Dutta ◽  
G C Hazarika
Keyword(s):  
Fractional Derivatives ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Flow Problems ◽  
Fuzzy Environment ◽  
Grade Fluid ◽  
Insight Into

scholarly journals Series Solutions of Lifting and Drainage Problems of a Nonisothermal Modified Second Grade Fluid Using a Vertical Cylinder

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
M. Farooq ◽  
M. T. Rahim ◽  
S. Islam ◽  
M. Arif
Keyword(s):  
Film Flow ◽  
Nonlinear Differential Equations ◽  
Vertical Cylinder ◽  
Second Grade ◽  
Series Solutions ◽  
Thin Film Flow ◽  
Second Grade Fluid ◽  
Flow Problems ◽  
Grade Fluid ◽  
Energy Equations

We studied the thin film flow for lifting and drainage problems using an incompressible, nonisothermal modified second grade fluid. We developed nonlinear differential equations from momentum and energy equations, respectively. Series solutions for both lifting and drainage problems are obtained. Expressions for the velocity profile, temperature distribution, volume flux, average film velocity, and shear stress on cylinder for both cases are obtained. Effects of different parameters on the flow problems are presented graphically.

scholarly journals Flow of a second grade fluid with fractional derivatives due to a quadratic time dependent shear stress

2018 ◽  
Vol 57 (3) ◽  
pp. 1963-1969 ◽  
Author(s):  
Nauman Raza ◽  
M. Abdullah ◽  
Asma Rashid Butt ◽  
Aziz Ullah Awan ◽  
Ehsan Ul Haque
Keyword(s):  
Shear Stress ◽  
Fractional Derivatives ◽  
Time Dependent ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Grade Fluid
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