Study of Heat Transfer under the Impact of Thermal Radiation, Ramped Velocity, and Ramped Temperature on the MHD Oldroyd-B Fluid Subject to Noninteger Differentiable Operators
Joint Authors
Khan, Ilyas
Saeed, Syed Tauseef
Riaz, Muhammad Bilal
Husnine, Syed Muhammad
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-12-07
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
This theoretical study explores the impact of heat generation/absorption with ramp wall velocity and ramp wall temperature on the magnetohydrodynamic (MHD) time-dependent Oldroyd-B fluid over an unbounded plate embedded in a porous surface.
The mathematical analysis of fractional governing partial differential equations has been established using systematic and powerful techniques of Laplace transform with its numerical inversion algorithms.
The fractionalized solutions have been traced out separately through all fractional differential operators.
Nondimensional parameters along with Laplace transformation are used to find the solution of temperature and velocity profiles.
Fractional time derivatives are used to analyze the impact of fractional parameters (memory effect) on the dynamics of the fluid.
While making a comparison, it is observed that the fractional-order model is the best to explain the memory effect as compared to classical models.
The obtained solutions are plotted graphically for different values of physical parameters.
Our results suggest that the velocity profile decreases by increasing the effective Prandtl number.
Furthermore, the existence of an effective Prandtl number may reflect the control of the thickness of momentum and enlargement of thermal conductivity.
American Psychological Association (APA)
Saeed, Syed Tauseef& Khan, Ilyas& Riaz, Muhammad Bilal& Husnine, Syed Muhammad. 2020. Study of Heat Transfer under the Impact of Thermal Radiation, Ramped Velocity, and Ramped Temperature on the MHD Oldroyd-B Fluid Subject to Noninteger Differentiable Operators. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-14.
https://search.emarefa.net/detail/BIM-1188263
Modern Language Association (MLA)
Saeed, Syed Tauseef…[et al.]. Study of Heat Transfer under the Impact of Thermal Radiation, Ramped Velocity, and Ramped Temperature on the MHD Oldroyd-B Fluid Subject to Noninteger Differentiable Operators. Journal of Mathematics No. 2020 (2020), pp.1-14.
https://search.emarefa.net/detail/BIM-1188263
American Medical Association (AMA)
Saeed, Syed Tauseef& Khan, Ilyas& Riaz, Muhammad Bilal& Husnine, Syed Muhammad. Study of Heat Transfer under the Impact of Thermal Radiation, Ramped Velocity, and Ramped Temperature on the MHD Oldroyd-B Fluid Subject to Noninteger Differentiable Operators. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-14.
https://search.emarefa.net/detail/BIM-1188263
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1188263