Journal of Applied Mathematics and Physics, 2023, 11, 484-513 https://www.scirp.org/journal/jamp ISSN Online: 2327-4379 ISSN Print: 2327-4352 DOI: 10.4236/jamp.2023.112030 Feb. 22, 2023 484 Journal of Applied Mathematics and Physics Heat and Mass Transfers in a Two-Phase Stratified Turbulent Fluid Flow in a Geothermal Pipe with Chemical Reaction Eric M. Nyariki 1 , Mathew N. Kinyanjui 2 , Jeconia O. Abonyo 2 1 Department of Mathematics, Pan African Institute of Basic Science, Technology and Innovation, Nairobi, Kenya 2 Department of Pure and Applied Mathematics, Jomo Kenyatta University of Agriculture and Technology, Nairobi, Kenya Abstract This research focused on the study of heat and mass transfers in a two-phase stratified turbulent fluid flow in a geothermal pipe with chemical reaction. The derived non-linear partial differential equations governing the flow were solved using the Finite Difference Method. The effects of various physical pa- rameters on the concentration, skin friction, heat, and mass transfers have been determined. Analysis of the results obtained indicated that the coeffi- cient of skin friction decreased with an increase in Reynolds number and so- lutal Grasholf number, the rate of heat transfer increased with an increase in Eckert number, Prandtl number, and angle of inclination, and the rate of mass transfer increased with increase in Reynolds number, Chemical reaction parameter and angle of inclination. The findings would be useful to engineers in designing and maintaining geothermal pipelines more effectively. Keywords Two-Phase, Turbulence, Non-Newtonian, Inclination, Heat Transfer, Mass Transfer, Stratified 1. Introduction In two-phase systems like power plants, nuclear reactors, oil and gas pipelines, and refrigeration equipment, a stratified flow regime is regarded as one of the basic and simple flows. When brine and steam are present in the fluid flow, two-phase flows take place in geothermal pipelines. When brine is positioned at the bottom and steam is positioned at the top of a geothermal pipe, the fluid flow is said to be stratified. How to cite this paper: Nyariki, E.M., Kinyanjui, M.N. and Abonyo, J.O. (2023) Heat and Mass Transfers in a Two-Phase Stratified Turbulent Fluid Flow in a Geo- thermal Pipe with Chemical Reaction. Journal of Applied Mathematics and Physics, 11, 484-513. https://doi.org/10.4236/jamp.2023.112030 Received: December 19, 2022 Accepted: February 19, 2023 Published: February 22, 2023 Copyright © 2023 by author(s) and Scientific Research Publishing Inc. This work is licensed under the Creative Commons Attribution International License (CC BY 4.0). http://creativecommons.org/licenses/by/4.0/ Open Access