International Journal of Statistics and Applied Mathematics
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International Journal of Statistics and Applied Mathematics

2018, Vol. 3, Issue 2, Part A

Radiation effect on terminal velocity of a vertically falling non-spherical particle by diagonal Pade’ [3/3] Approximants


Author(s): Harpreet Kaur and BP Garg

Abstract: In this paper, the Radiation effect on velocity of a vertically falling non-spherical particle in incompressible Newtonian fluid is investigated. The use of radiation force for increasing the velocity of vertically falling non-spherical particles has the most important implication on increasing the efficiency of particulate control device such as gravity settling chambers. In this paper, the velocity of a vertically falling non-spherical single particle in the Newtonian fluid can be described by the force balance equation (Basset-Boussinesq-Ossen equation) in presence of Radiations. The main difficulty in the solution of this equation lies in the nonlinear term due to the nonlinearity nature of the drag coefficient. The terminal velocity was calculated by using the Diagonal Pade’ Approximant method order [3/3] and Varinational Iteration method (VIM) 4th iteration. The results were also compared with fourth order Runge-Kutta method(R-K 4th order) to verify the accuracy of the proposed methods. The particle which is more effected by Radiation force have more velocity and reaches early at terminal velocity as compared to others. To obtain the results for all different methods, the symbolic calculus software MATLAB was used.

Pages: 31-36 | Views: 486 | Downloads: 18

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How to cite this article:
Harpreet Kaur and BP Garg. Radiation effect on terminal velocity of a vertically falling non-spherical particle by diagonal Pade’ [3/3] Approximants. International Journal of Statistics and Applied Mathematics. 2018; 3(2): 31-36.
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