Applied Mathematics
Senior Lecturer
Mathematics
At the Mathematics department office
Appointment on Visitation important
Topic: 1. Coupled Semi-Analytic Solution Of Heat And Mass Transfer Analysis For Casson Fluid Flow Between Circular Disks.
Description:
Introduction:
The Casson fluid model is brought about by the fact that in real life, we do not always deal
with simple Newtonian fluid, instead, we deal with non-Newtonian fluid often, but the complex rheological properties of the non-Newtonian fluid cannot be captured by a single model. Different mathematical models have been used to study different types of non-Newtonian fluids. One of such models is known as Casson fluid model. non-Newtonian fluid such as blood has been studied using Casson fluid model by different researchers, like E.Mill, A.benis, et al.
Aim:
The aim of this research is to use some semi-analytic methods with a Numerical method to
examine the Casson fluid model.
Methodology:
The method to be employed will be theoretical. The governing equation represents the
Casson fluid will be analyzed through similarity transformation and some Semi-analytical
and numerical methods. The result will be compared with the result of the existing literature.
Contribution to Knowledge:
For the Casson fluid model analyzed, the following shall be considered.
(i) The rate of convergence of the solution
(ii) The computational time complexity of the method used
(iii) The method that gives better results for the Casson fluid model
# | Certificate | School | Year |
---|---|---|---|
1. | Ph.D (Mathematics) | Mathematics, Ladoke Akintola University of Technology, Ogbomoso, Oyo State | 2013 |
On The Solution of Boundary Layer Flow of Erying-Powell Nanofluid over a Nonlinear Stretching Surface.
Introduction:
The flows of non-Newtonian fluids have been of great importance and increasing interest for the last few decades. Perhaps, it is due to their several engineering and technological applications. A few examples of non-Newtonian fluids are coal water, jellies, toothpaste, ketchup, food products, inks, glues, soaps, blood, and polymer solutions. It is well-known that there is no unique relationship available in the literature like the Newtonian law of viscosity for viscous fluids that can describe the rheology of all the non-Newtonian fluids. It is due to the diversity of non-Newtonian fluids in nature in terms of their viscous and elastic properties. Mathematical systems for non-Newtonian fluids are of higher-order and more complicated in comparison to Newtonian fluids. Despite all these difficulties and complexities, several researchers in the field are involved in making valuable contributions to the studies of non-Newtonian fluid dynamics
Aim:
The aim of this researcher is to obtain a Numerical solution to the Boundary layer flow of Eyring-Powell Nanofluid over a nonlinear stretching surface
Methodology:
The method used is theoretical, I employed the Galerkin Finite Difference Method which is one of the prominent techniques to solve nonlinear differential equations. The result is then compared with the existing literature.
Contribution to Knowledge:
The results obtained for this particular problem are in agreement with the existing literature.
MUSTAPHA RILWAN is a Senior Lecturer at the Department of Mathematics
MUSTAPHA has a Ph.D in Mathematics from Mathematics, Ladoke Akintola University of Technology, Ogbomoso, Oyo State