MODELING THE EFFECT OF BLOOD MASS FLOW AND METABOLIC RATE DURING PHYSICAL EXERCISE WITH A CONSTANT THERMAL CONDUCTIVITY

Abstract

Engaging in physical exercise is crucial for maintaining a healthy life, and those who participate in regular workouts typically experience improved health and a better quality of life.As a person engages in physical activities, their metabolism shifts in response to the intensity of the exercise, displaying different patterns depending on the specific activities involved.At the onset of exercise, the metabolic rate rises sharply, and after some time, it gradually levels off to remain relatively stable.By altering the existing mathematical model regulating physical activity, this study aims to model the effects of blood mass flow and metabolic rate during physical exercise with a constant thermal conductivity.The Olayiwola Generalized Polynomial approximation approach is used to solve the governing problem and provide an analytical solution for the suggested model.The results indicate that an increase in activity level causes the rate of metabolism to increase or decrease over time, as well as increase over the specified distance.As this trend continue until the exercise approaches to the stopage time, the tissue temperature profile (x,t) at time t and along the distance x is enhanced.