THERMAL SCIENCE
International Scientific Journal
MATHEMATICAL FRACTIONAL MODELING OF TRANSPOT PHENOMENA OF VISCOUS FLUID-FLOW BETWEEN TWO PLATES
ABSTRACT
This work is about the mass and heat transfer flow for adhesive fluid between two upright plates pulled apart by a distance, d. Fractional model of the considered problem is developed after making governing equations dimensionless. Laplace transform technique is utilized to acquire analytical solutions and some graphics are presented to see the physical behavior of embedded parameters.
KEYWORDS
PAPER SUBMITTED: 2021-07-15
PAPER REVISED: 2021-07-17
PAPER ACCEPTED: 2021-08-22
PUBLISHED ONLINE: 2021-12-18
- Miller, K. S., Ross, B., An Introduction to the Fractional Calculus and Fractional Differential Equations, John Wiley, New York, USA, 1993
- Baleanu, D., et al., Analysis and Applications of the Proportional Caputo derivative, Advances in Differential Equations, 2021 (2021), 1 pp. 1-12
- Hristov, J., Non-Linear Heat Conduction with Ramped Surface Heating Ramp Surface Heating and Approximate Solution, Thermal Science, 24 (2020), 1, pp. 377-389
- Aleem, M., et al., Analysis of Mathematical Model of Fraction Viscous Fluid Through Vertical Rectangular Channel, Chinese Journal of Physics, 61 (2019), Oct., pp. 336-350
- Imran, M. A., et al., Heat Transfer Analysis of Fractional Second-Grade Fluid Subject to Newtonian Heating with Caputo and Caputo-Fabrizio Fractional Derivatives: A Comparison, The European Physical Journal Plus, 132 (2017), 8, pp. 1-19
- Baleanu, D., et al., On a Fractional Operator Combing Proportional and Classical Differintegral, Mathematics, 8, (2020), 3, ID 360
- Hristov, J., Transient Heat Diffusion with a Non-Singular Fading Memory from the Cattaneo Constitutive Equation with Jeffrey´ıs Kernel to the Caputo-Fabrizio time Fractional Derivative, Thermal Sciences, 20 (2016), 2, pp. 757-762
- Henry, B. I., et al., An Introduction to Fractional Diffusion, in: Complex Physical, Biophysical and Eco-nophysical Systems, (Dewar, R. L. and Detering F. eds.), World Scientific Lecture Notes in Complex Systems, World Scientific, Hackensack, N. J., USA, 2010, Vol. 9, pp. 37-89