Research
On the Squeezing flow of Nanofluid through Porous Medium with Slip Boundary and Magnetic Field: A Comparative Study of Three Approximate Analytical Methods
This paper presents a comparative study of approximate analytical methods is carried out using differential transformation, homotopy perturbation and variation parameter methods for the analysis of a steady two-dimensional axisymmetric flow of nanofluid under the influence of a uniform transverse magnetic field with slip boundary condition. Also, parametric studies are carried out to investigate the effects of fluid properties, magnetic field and slip parameters on the squeezing flow. It is revealed from the results that the velocity of the fluid increases with increase in the magnetic parameter under the influence of slip condition while an opposite trend is recorded during no-slip condition. Also, the velocity of the fluid increases as the slip parameter increases but it decreases with increase in the magnetic field parameter and Reynold number under the no-slip condition. The approximate analytical solutions are verified by comparing the results of the approximate analytical methods with the numerical method using Runge-Kutta coupled with shooting method. Although, very good agreements are established between the results, the results of variation parameter method provide excellent agreement with the results of numerical method.
Analysis of Pyrolysis Kinetics of Biomass Particle under Isothermal and Non-isothermal Heating Conditions using Differential Transformation Method
In this study, differential transformation method is applied to analyze pyrolysis kinetics of biomass particle under isothermal and non-isothermal heating conditions. The developed analytical solutions to the system of pyrolysis kinetic models are used to investigate the effects of heating conditions, heating rates on the pyrolysis residence time and technologies. Also, as means verification, the developed solutions of the kinetic models using differential transformation method are compared with the results of the solutions of exact analytical method. Good agreements are established between the present results and the past works. It is therefore expected that this study will enhance the understanding of the pyrolysis process by giving physical insights into the various factors and the parameters affecting the phenomena.
