Abstract
In existence of heat diffusion and thermal radiation, an analytical equation is found for unsteady MHD flow past an exponentially accelerating vertical plate in optically thick water based nanofluid. The governing equations are made dimensionless by similarity transformation. A definition of Caputo fractional derivative is applied to generalize governing system of partial differential equations. Laplace transform techniques are applied and obtained the analytical solutions of proposed problems. For a physical point of view, numerical results are obtained using MATLAB software and presented via graphs. From the results, it is concluded that magnetic fields tend to reduce velocity. It is also worth noting that the heat transfer process improved with thermal radiation parameter whereas, mass transfer process improved with thermal diffusion.
Recommended Citation
Patel, Harshad and Nanda, Gopal
(2024).
Utilization of Caputo Fractional Derivative in MHD Nanofluid Flow With Soret and Thermal Radiation Effects,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 19,
Iss.
3, Article 7.
Available at:
https://digitalcommons.pvamu.edu/aam/vol19/iss3/7