Showing posts with label finite difference scheme. Show all posts
Showing posts with label finite difference scheme. Show all posts

Saturday, 30 August 2025

Solution of SPL Heat Conduction Model under Neumann Boundary Condition | Chapter 9| Scientific Research, New Technologies and Applications Vol. 6

 

In this study, we will investigate the thermal wave propagation either by taking symmetric or asymmetric heating at the boundaries of finite thin film. Non-Gaussian heat sources are modelled as time-varying and spatially-decaying laser incidences. In this study, we present an unconditionally stable accurate finite difference scheme for Neumann (insulated) boundary condition which avoids the need of ghost point outside the boundary, unlike to the other finite difference schemes. The dimensionless form of model has been used for the complete analysis of model.

 

 

Author(s) Details

T. N. Mishra

SOET, Sanjeev Agrawal Global Educational University, Bhopal, India.

Atesh Singh

SOET, Sanjeev Agrawal Global Educational University, Bhopal, India.

 

Please see the book here:- https://doi.org/10.9734/bpi/srnta/v6/2176

 

Saturday, 29 October 2022

Impact of Thermal Radiation and Buoyancy Forces on MHD Fluid Flow with Heat and Mass Transfer over a Permeable Stretching Sheet | Chapter 7 | Current Overview on Science and Technology Research Vol. 7

 This item engages the mathematical approach to examine the impact of heat that radiates and Buoyancy belongings of the nonlinear MHD fluid flow accompanying heat and bulk transfer characteristics of an firm, sticky, electrically attending and Boussinesq fluid ahead a absorbent vertical elongated coating. A magnetic field of currents is used across to the direction of the flow. The fundamental equatings commanding flow, heat transfer, and aggregation are decreased to a set of nonlinear ordinary characteristic equatings through likeness metamorphosis. Quasi-linearization is used to first linearize the nonlinear common differential equatings before they are numerically answered utilizing an inherent limited difference procedure. The Gauss-Seidal repetitive means is before used to solve bureaucracy of concerning manipulation of numbers equatings. Graphical likenesses are used to show the influence of material parameters on the speed, hotness, and aggregation characterizations. Drawing speed, temperature, and aggregation characterizations for differing ruling factors tells that the life of resilience belongings, heat that radiates, and magnetic field considerably influences the flow field.


Author(s) Details:

J. Venkata Madhu,
Department of Science and Humanities, Sreenidhi Institute of Science and Technology, Ghatkesar, Hyderabad-501301, Telangana State, India.

Please see the link here: https://stm.bookpi.org/COSTR-V7/article/view/8509