Fractional Analysis of Viscous Fluid Flow with Heat and Mass Transfer Over a Flexible Rotating Disk

• Published in: Computer modeling in engineering & sciences Vol. 123; no. 1; pp. 377 - 400
• Main Authors: Shuaib, Muhammad, Bilal, Muhammad, Khan, Muhammad Altaf, Malebary, Sharaf J.
• Format: Journal Article
• Language: English
• Published: Henderson Tech Science Press 01.01.2020
• Subjects: Caputo Derivatives; Computational fluid dynamics; Computer simulation; Differential equations; Dufour Effect; Fluid flow; Heat transfer; Mass transfer; Mathematical models; Ordinary differential equations; Rk4; Rotating disks; Rotation; Runge-Kutta method; Similarity Transformation; Soret Effect; Three dimensional flow; Two dimensional flow; Viscosity; Viscous fluids
• ISSN: 1526-1492; 1526-1506; 1526-1506
• DOI: 10.32604/cmes.2020.08076

An unsteady viscous fluid flow with Dufour and Soret effect, which results in heat and mass transfer due to upward and downward motion of flexible rotating disk, has been studied. The upward or downward motion of non rotating disk results in two dimensional flow, while the vertical action and rotation of the disk results in three dimensional flow. By using an appropriate transformation the governing equations are transformed into the system of ordinary differential equations. The system of ordinary differential equations is further converted into first order differential equation by selecting suitable variables. Then, we generalize the model by using the Caputo derivative. The numerical result for the fractional model is presented and validated with Runge Kutta order 4 method for classical case. The compared results are presented in Table and Figures. It is concluded that the fractional model is more realistic than that of classical one, because it simulates the fluid behavior at each fractional value rather than the integral values.