Development of the Travelling Wave Bioreactor - A Concept Study

2012 ◽  
Vol 85 (1-2) ◽  
pp. 136-143 ◽  
Author(s):  
Stephan C. Kaiser ◽  
Matthias Kraume ◽  
Dieter Eibl
Keyword(s):  
Travelling Wave ◽  
Concept Study ◽  
Wave Bioreactor

Development of the Travelling Wave Bioreactor. Part I: Design Studies Based on Numerical Models

2015 ◽  
Vol 88 (1-2) ◽  
pp. 77-85 ◽  
Author(s):  
Stephan C. Kaiser ◽  
Matthias Kraume ◽  
Dieter Eibl
Keyword(s):  
Numerical Models ◽  
Travelling Wave ◽  
Design Studies ◽  
Wave Bioreactor

Development of the Travelling Wave Bioreactor. Part II: Engineering Characteristics and Cultivation Results

2015 ◽  
Vol 88 (1-2) ◽  
pp. 86-92 ◽  
Author(s):  
Stephan C. Kaiser ◽  
Nadezda Perepelitsa ◽  
Matthias Kraume ◽  
Dieter Eibl
Keyword(s):  
Travelling Wave ◽  
Engineering Characteristics ◽  
Wave Bioreactor

On the Exact Soliton Solutions of Some Nonlinear PDE by Tan-Cot Method

2018 ◽  
Vol 5 (1) ◽  
pp. 31-36
Author(s):  
Md Monirul Islam ◽  
Muztuba Ahbab ◽  
Md Robiul Islam ◽  
Md Humayun Kabir
Keyword(s):  
Solitary Wave ◽  
Acoustic Waves ◽  
Water Waves ◽  
Wave Equations ◽  
Rectangular Channel ◽  
Soliton Solutions ◽  
Boussinesq Equations ◽  
Travelling Wave ◽  
Ion Acoustic Waves ◽  
Analytical System

For many solitary wave applications, various approximate models have been proposed. Certainly, the most famous solitary wave equations are the K-dV, BBM and Boussinesq equations. The K-dV equation was originally derived to describe shallow water waves in a rectangular channel. Surprisingly, the equation also models ion-acoustic waves and magneto-hydrodynamic waves in plasmas, waves in elastic rods, equatorial planetary waves, acoustic waves on a crystal lattice, and more. If we describe all of the above situation, we must be needed a solution function of their governing equations. The Tan-cot method is applied to obtain exact travelling wave solutions to the generalized Korteweg-de Vries (gK-dV) equation and generalized Benjamin-Bona- Mahony (BBM) equation which are important equations to evaluate wide variety of physical applications. In this paper we described the soliton behavior of gK-dV and BBM equations by analytical system especially using Tan-cot method and shown in graphically. GUB JOURNAL OF SCIENCE AND ENGINEERING, Vol 5(1), Dec 2018 P 31-36

Solitary and Travelling Wave Solutions of Certain Nonlinear Diffusion-Reaction Equations

2020 ◽  
Author(s):  
Miftachul Hadi
Keyword(s):  
Nonlinear Diffusion ◽  
Travelling Wave ◽  
Diffusion Reaction ◽  
Travelling Wave Solutions ◽  
Wave Solutions ◽  
Reaction Equations

We review the work of Ranjit Kumar, R S Kaushal, Awadhesh Prasad. The work is still in progress.

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