Nonlinear stretching/shrinking cooling of a sheet involving an MHD Walters' liquid B with suction
Date
2019
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Open Access Color
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Abstract
The main objective of this article is to explore analytical solution for fourth order highly nonlinear differential equation. The stretching/shrinking is a non-linear (at least quadratic) function along the direction of stretching/shrinking. The stretching/ shrinking of a sheet with a velocity profiles are comparatively dependent on the distance from the velocity axes. The system of partial differential equations is transformed into the system of highly nonlinear ordinary differential equation via similarity transformation. Velocity profiles as a function of stretching/shrinking related parameters, Chandrasekhar number and viscoelastic parameter are discussed graphically. The analytical solutions of system of boundary layer equations emerging from the stretching/shrinking sheet problems were investigated and also the outcomes are in good agreement with the classical results on this topic. The outcomes have conceivable mechanical applications in fluid based frameworks including stretchable materials, in polymer extrusion process, metal spinning and other industrial processes. © 2019 IIETA.
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Keywords
Analytical Solution, Fourth Order Non-Linear Differential Equation, Magnetic Field, Non-Linear Stretching/Shrinking Sheet, Walters' Liquid B
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Citation
Nayakar, Ravichandra...et al. (2019). "Nonlinear stretching/shrinking cooling of a sheet involving an MHD Walters' liquid B with suction", Mathematical Modelling of Engineering Problems, Vol. 6, No. 3, pp. 343-348.
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Source
Mathematical Modelling of Engineering Problems
Volume
6
Issue
3
Start Page
343
End Page
348