Fractional investigation of time derivatives airflow process in a rectangular building

Abstract: The study investigates the fractional time derivatives of air flow process across vertical openings in rectangular building by Caputo sense. Governing equations of air flow are solved analytically by Laplace transform technique and method of undetermined coefficient to obtain the solutions in Laplace domain. The solutions are inverted from the Laplace domain back to the time domain by the Riemann-sum approximation approach. The influence of the different flow parameters such as fractional order , Prandtl number , effective thermal coefficient  and discharge coefficient  are plotted in graphs. In the course of investigation, it is found that the increase or decrease in fractional order  between the interval of  the temperature profile and velocity profile will increase or decrease while the volumetric air flow and mass transfer will only decrease as fractional order increase.

Keywords: airflow process, building, fractional derivatives, investigations, rectangular, time.

Title: Fractional investigation of time derivatives airflow process in a rectangular building

Author: Auwal Inusa Adamu, Muhammad Auwal Lawan, Abba Sunusi Yakasai

International Journal of Novel Research in Physics Chemistry & Mathematics

ISSN 2394-9651

Vol. 9, Issue 3, September 2022 - December 2022

Page No: 39-60

Novelty Journals

Website: www.noveltyjournals.com

Published Date: 06-November-2022

DOI: https://doi.org/10.5281/zenodo.7296349

Paper Download Link (Source)

https://www.noveltyjournals.com/upload/paper/Fractional%20investigation%20of%20time-06112022-2.pdf