Velocity Analysis of a Single Vertically Falling Non-Spherical Particle in Newtonian and Non- Newtonian Fluids
Harpreet Kaur1, Neeraj Rani2, B.P.Garg3

1Harpreet Kaur, Department of applied sciences, Adesh Institute of Engineering and Technology, Faridkot, Punjab (INDIA).
2Neeraj Rani, Research scholar of I.K. Gujral Punjab Technical University, Kapurthala, Punjab (INDIA).
3B.P.Garg, Department of applied sciences, Adesh Institute of Engineering and Technology, Faridkot, Punjab (INDIA).
Manuscript received on September 22, 2019. | Revised Manuscript received on October 20, 2019. | Manuscript published on October 30, 2019. | PP: 2206-2209 | Volume-9 Issue-1, October 2019 | Retrieval Number: A9709109119/2019©BEIESP | DOI: 10.35940/ijeat.A9709.109119
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Abstract: An analytical investigation is applied for the velocity of a vertically falling non-spherical particle in Newtonian and non- Newtonian fluid. The velocity of vertically falling non-spherical particle can be described by the force balance equation (Basset- Boussinesq- Ossen equation). Variational Iterations Method (VIM) and Runge- Kutta 4th order method are used to solve the existing problem. The results were compared those obtained from VIM by R-K 4th order method. We obtained that VIM which was used to solve such non-linear differential equation with fractional power is simpler and more accurate than other methods. Analytical results indicate that the velocity in a falling procedure is significantly increased and more in Newtonian fluid. Also particle’s velocity in Newtonian fluid reaches early at terminal velocity as compare to non-Newtonian fluid. To obtain the results for all different methods, the symbolic calculus software MATLAB is used.
Keywords: Newtonian fluid, non-Newtonian fluid, non spherical particle, Terminal velocity, Variational Iteration method (VIM).