Showing posts with label Free convection. Show all posts
Showing posts with label Free convection. Show all posts

Wednesday, 3 April 2024

Numerical Study and Comparison of Heat and Mass Transfer Fluid Flow of Silver and Aluminum Oxide Nanofluid Past a Horizontally Plate | Chapter 8 | Research Updates in Mathematics and Computer Science Vol. 2

 This work analyses the behavior, characteristics, flow development, and heat and mass transfer coefficient of nanofluids under laminar boundary layer flow over a horizontally inclined plate. A nanofluid is the suspension of ultrafine particles in a base fluid, which tremendously enhances the heat transfer characteristics of the original fluid. This work aims to compare the characteristics between two different nanofluids Silver and Aluminum Oxide with the same base fluid water under the heat and mass transfer nanofluid past a horizontally inclined plate. The Basic governing equations of the free convective flow for heat and mass transfer are converted to a non-dimensional partial differential equation using non-dimensional parameters and are solved numerically using crank Nicolson Implicit finite difference method. The final equations are solved using the MATLAB software and the results are shown as graphs. The velocity, temperature and concentration profiles are illustrated graphically to study about the various parameters Grashof Number, Angle of inclination, Nano particle volume fraction, Schmidt number and non-uniform surface temperature.


Author(s) Details:

M. Selva Rani,
Department of Agricultural Economics, SRM College of Agricultural Sciences, SRM Institute of Science and Technology, Baburayanpettai, Mathuranthagam Taluk, Chengalpattu District – 603202, India.

Please see the link here: https://stm.bookpi.org/RUMCS-V2/article/view/13946

Monday, 28 December 2020

Numerical Analysis of Free Convection of Viscoelastic Fluid from a Cone Embedded in a Porous Medium with Viscous Dissipation | Chapter 10 | Theory and Practice of Mathematics and Computer Science Vol. 5

 In a viscoelastic fluid integrated in a porous medium with viscous dissipation, we study numerical analysis of free convection from a downward pointing cone. For distinct viscoelastic, porosity, Prandtl and Eckert numbers, the fluid parameters are numerically computed. When solving the resulting mathematical model, three numerical methods are defined and implemented. The methods are used to evaluate which of them is suitable and which of these is more precise for larger values of the non-Newtonian parameter. Using the transformations of similarity, the governing partial differential equations are transformed to a fourth order system of ordinary differential equations and then resolved together using the successive linearization method (SLM), the quasi-linearization method (QLM) and the local linearization methods (LLM). The methods were compared and found to be precise and robust with the outcomes in the literature. Results from the physical properties show that increasing the number of Prandtl results in decreases in both velocity and temperature pro les, decreases the velocity pro les and raises the temperature pro les by increasing the porosity parameter. Increasing the amount of Eckert results in a pro-les temperature and velocity rise. Interesting and more detailed observations indicate that the SLM and QLM are more precise than the LLM, but it is possible to use the QLM and the LLM to solve fluid problems with larger non-Newtonian parameter values. The techniques can be used to substitute in the literature the approaches based on the more commonly used nite discrepancy.


Author(s) Details

Gilbert Makanda
Department of Mathematical and Physical Sciences, Central University of Technology, Free State Bloemfontein, 9300, South Africa

View Book :-
https://bp.bookpi.org/index.php/bpi/catalog/book/341