Open AccessAnalytical Solutions of Fractional Partial Differential equations for the Second grade fluid Flow
Author(s) -
Muhammad Danish Ikram,
Zuha Binte Tahir,
Maira Anwar,
Muhammad Asjad
Publication year - 2021
Publication title -
scientific inquiry and review
Language(s) - English
Resource type - Journals
eISSN - 2521-2435
pISSN - 2521-2427
DOI - 10.32350/sir.52.05
Subject(s) - laplace transform , mathematics , flow (mathematics) , partial differential equation , series (stratigraphy) , operator (biology) , boundary value problem , mathematical analysis , fractional calculus , calculus (dental) , geometry , medicine , paleontology , biochemistry , chemistry , dentistry , repressor , gene , transcription factor , biology
This research work is related to unsteady movement of second-grade fluid over an infinite plate.
The governing equations for flow are developed through constitutive relations. Then classical model
extended to fractional order model with power law fractional differential operator. The Laplace
transform (LT) technique is applied to find the analytical results and stated as series satisfy the
boundary conditions. To see physical significance of flow parameters some graphs are displayed.
Recent results from the existing literature are recovered to validate.
Copyright(c) The Authors