scholarly journals Hertz Elastic Dynamics of Two Colliding Elastic Spheres

2020 ◽  
Author(s):  
Bohua Sun
Keyword(s):  
Numerical Investigation ◽  
Hypergeometric Function ◽  
Classic Problem ◽  
Single Solution ◽  
Elastic Dynamics ◽  
Maple Code

This paper revisits a classic problem in physics - Hertz elastic dynamics of two colliding elastic spheres. This study obtains impact period in terms of hypergeometric function and successfully combines Deresiewicz's three segmental solutions into one single solution. Our numerical investigation confirms that Deresiewicz's inversion is a good approximation. As an essential part of this study, a general Maple code is provided.

scholarly journals Solving Prandtl-Blasius boundary layer equation using Maple

2020 ◽  
Author(s):  
Bohua Sun
Keyword(s):  
Boundary Layer ◽  
Analytic Solution ◽  
Boundary Layer Equation ◽  
Approximate Analytic Solution ◽  
Convergence Radius ◽  
Classic Problem ◽  
Runge Kutta Method ◽  
Blasius Boundary Layer ◽  
Blasius Equation ◽  
Maple Code

A solution for the Prandtl-Blasius equation is essential to all kinds of boundary layer problems. This paper revisits this classic problem and presents a general Maple code as its numerical solution. The solutions were obtained from the Maple code, using the Runge-Kutta method. The study also considers convergence radius expanding and an approximate analytic solution is proposed by curve fitting.

scholarly journals Solving Prandtl-Blasius Boundary Layer Equation Using Maple

2020 ◽  
Author(s):  
Bohua Sun
Keyword(s):  
Boundary Layer ◽  
Analytic Solution ◽  
Boundary Layer Equation ◽  
Approximate Analytic Solution ◽  
Convergence Radius ◽  
Classic Problem ◽  
Runge Kutta Method ◽  
Blasius Boundary Layer ◽  
Blasius Equation ◽  
Maple Code

A solution for the Prandtl-Blasius equation is essential to all kinds of boundary layer problems. This paper revisits this classic problem and presents a general Maple code as its numerical solution. The solutions were obtained from the Maple code, using the Runge-Kutta method. The study also considers convergence radius expanding and an approximate analytic solution is proposed by curve fitting. Similarly, the study resolves some boundary layer related problems and provide relevant Maple codes for these.

Numerical Investigation of Discharge Current Path in a Hydrogen MPD Thruster

2016 ◽  
Vol 136 (3) ◽  
pp. 141-146 ◽  
Author(s):  
Akira Kawasaki ◽  
Kenichi Kubota ◽  
Ikkoh Funaki ◽  
Yoshihiro Okuno
Keyword(s):  
Numerical Investigation ◽  
Discharge Current ◽  
Current Path
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