Mathematical Modeling: Magneto-Thermoelastic Waves Propagation and Some Applications | Book Publisher International

 

In this book, an investigation has been made for mathematical modelling: magneto-thermoelastic waves' propagation and some applications in diverse fields as acoustics, aerospace, astronomy, geophysics, earthquakes, volcanoes, engineering and others. The fundamental and basic concepts and equations presented for the electro-thermoelasticity with external effects as gravity, rotation, initial stress and hydrostatic initial stress, as well as two-temperature, voids, diffusion, semiconducting, thermal relaxation times and thermal shock. The dissertation work reported here is originally motivated by several connections between elasticity, thermal field, electromagnetic field, rotation, initial stress, voids, photothermal, semiconducting, and diffusion. The effect of rotation, electromagnetic field, voids, diffusion, semiconducting, and thermal relaxation time will be studied on the waves' propagation (i.e., either waves' propagation "reflection and/or refraction" or "surface waves: Stoneley, Love, and Rayleigh"). Due to the coupling of the equation of motion, heat equation, and void equation in the context of generalised magneto-thermoelasticity, the work done in this field is unfortunately limited in number. The secular equation, Stoneley waves' velocity and attenuation coefficients are affected by the external parameters, such as the magnetic field, rotation, voids, and relaxation time. The finite difference technique under the effectiveness of rotation and decayed heat flux on the obtained components was graphically drawn. Numerical results of the problems solved are displayed by sample graphs.

Author(s) Details

Professor Elsayed Mohamed Abo-Dahab Khedary
Mathematics Department, Faculty of Science, South Valley University, Qena, 83523, Egypt.

 

Please see the book here:- https://doi.org/10.9734/bpi/mono/978-81-989994-3-6

 

Analytical Study of Peristaltic Flow in a Doubly Connected Region with Heat Transfer Effects | Chapter 7 | Scientific Research, New Technologies and Applications Vol. 9

An eccentric annular region is created by placing cylindrical tubes with a Z-axis as the axis is considered. The inner tube is assumed to be at a higher temperature than the outer tube. The outer wall is subjected to a peristaltic wave motion and the inner tube is rigid. The inner tube rotates with a fixed velocity due to which a small eccentricity is created. The study focuses on the effects of heat transfer and eccentricity on the flow. The coupled equations of motion are decoupled and solved by the regular perturbation method with eccentricity as the perturbation parameter. An approximate solution for temperature and velocity is obtained and graphically depicted. The flow rate is maintained constant and the effect of heat transfer on pressure gradient is analysed. As eccentricity increases pressure gradient and temperature increase thereby increasing velocity. An area of the cross-section decreases, and heat transfer gets accelerated. Velocity shows higher values in the presence of heat transfer. The above solutions are compared with closed-form solutions in the case of concentric cylinders. The rate of flow is more in the case of eccentric cylinders than concentric.

 

Author (s) Details

Sushma M Puranik
Department of Mathematics, RV Institute of Technology and Management, Bengaluru, Karnataka-560076, India.

 

Indira Rama Rao
Department of Mathematics, Nitte Meenakshi Institute of Technology, Bengaluru, Karnataka-560064, India.

 

Sreegowrav K R
Department of Mathematics, School of Applied Sciences, REVA University, Bengaluru, Karnataka-560064, India.

 

Please see the book here:- https://doi.org/10.9734/bpi/srnta/v9/2891