V.K. Katiyar

A model for blood flow through a stenotic tube

This article deals with the introduction of the modified Cassons fluid model as the true representation for the blood for the steady laminar flow through a small diameter artery with axi-symmetric identical double stenoses in series. The governing equations are solved by using the finite element method. The results for the velocity profiles, the pressure and the wall shear stress distributions in addition to the location and length of the flow reversal zones have been brought out and discussed in reference to the severity of the disease. It has been observed that the non-Newtonian nature of the blood helps in reducing the magnitude of the peak wall shear stress at the throat and the length of the reversed flow regions in the post stenotic dilatation.

Regulation of Blood Glucose Level in Diabetes Mellitus Using Palatable Diet Composition

Diabetes mellitus results from the failure of the endocrine system to control the blood glucose levels within the normal limits. Normal people have fasting sugar level that generally run between 70–110 mg/dl, while a person is said to suffer from diabetes if the blood glucose level in the interval of 2 hours equals to or exceeds 180 mg/dl. It can be understood as a disorder of carbohydrate metabolism and characterized primarily by hyperglycemia and glycosuria with second anomalies of the metabolism of protein and fat. It is not only the leading cause of blindness, renal failure and non-traumatic amputations in adults but also a major cardiovascular risk factor in developing countries. So, it is of great interest to propose a palatable composition of quantitative diet for the human beings suffering from Diabetes Mellitus to regulate the blood glucose and insulin level. In the present study, the palatable composition is calculated by two mathematical models and given in the form of calories for protein (P), fat (F) and carbohydrate (C). For the calculations, the mixed population has been distinguished into three categories namely men, women and juvenile having various body frames i.e. small, medium and large. With the substitution of this composition in the solutions, the near- normal level of blood glucose and insulin is achieved. Hence, a plausible palatable composition of protein, fat and carbohydrate has been proposed which can be incorporated in diet for the significant regulation of blood glucose and insulin level in diabetic patients.Diabetes mellitus results from the failure of the endocrine system to control the blood glucose levels within the normal limits. Normal people have fasting sugar level that generally run between 70-110 mg/dl, while a person is said to suffer from diabetes if the blood glucose level in the interval of 2 hours equals to or exceeds 180 mg/dl. It can be understood as a disorder of carbohydrate metabolism and characterized primarily by hyperglycemia and glycosuria with second anomalies of the metabolism of protein and fat. It is not only the leading cause of blindness, renal failure and non-traumatic amputations in adults but also a major cardiovascular risk factor in developing countries. So, it is of great interest to propose a palatable composition of quantitative diet for the human beings suffering from Diabetes Mellitus to regulate the blood glucose and insulin level. In the present study, the palatable composition is calculated by two mathematical models and given in the form of calories for protein (P), fat (F) and carbohydrate (C). For the calculations, the mixed population has been distinguished into three categories namely men, women and juvenile having various body frames i.e. small, medium and large. With the substitution of this composition in the solutions, the near-normal level of blood glucose and insulin is achieved. Hence, a plausible palatable composition of protein, fat and carbohydrate has been proposed which can be incorporated in diet for the significant regulation of blood glucose and insulin level in diabetic patients.

Transient heat transfer analysis for moving boundary transport problems in finite media

Abstract Problems of heat and mass transfer involving a moving boudary are encountered in freezing, melting, diffusion of species with or without chemical reaction, evaporation, condensation, and in allied fields. In the present investigation the transient solidification of a finite slab of a binary alloy with a moving boundary is considered. The slab is taken to be superheated initially with a uniform temperature distribution. Solidification starts after one surface is cooled by convection while other surfaces are kept insulated. Temperature distribution and the position of moving boundary are determined by solving a non-steady-state energy equation analytically. Predicted results are compared with available experimental results and are found in good agreement.