STABILITY OF VISCOUS FLOW IN A CURVED CHANNEL WITH RADIAL TEMPERATURE GRADIENT
Journal Title: INTERNATIONAL JOURNAL OF COMPUTERS & TECHNOLOGY - Year 2016, Vol 15, Issue 8
Abstract
In this paper, the stability of Dean’s problem in the presence of a radial temperature gradient is studied for narrow gap case. The analytical solution of the eigen value problem is obtained by using the Galerkin’s method. The critical values of parameters and Λ are computed, where  is wave number and Λ is a parameter determining the onset of stability from the obtained analytical expressions for the first, second and third approximations. It is found that the difference between the numerical values of critical Λ corresponding to the second and third approximations is very small as compared to the difference between first and second approximations. The critical values of Λ obtained by the third approximation agree very well with the earlier results computed numerically by using the finite difference method. This clearly indicates that for the better result one should obtain the numerical values by taking more terms in approximation. Also, the amplitude of the radial velocity and the cell-patterns are shown on the graphs for different values of the parameter M, which depends on difference of temperatures of outer cylinder to the inner one i.e. on (), where is the temperature of inner cylinder and  is the temperature of outer cylinder.
Authors and Affiliations
Sadhana Pandey, Neelabh Rai
Keywords
Related Articles
- EP ID EP650828
- DOI 10.24297/ijct.v15i8.1512
- Views 100
- Downloads 0
Empirical and Statistical Study of Elicitation Complications
The performance of Requirement Engineering is like framework for software development process. All-inclusive software has four mainstays of requirement engineering processes i.e. Functional and non-functional requirement...
A Model for Improving Classifier Accuracy using Outlier Analysis
Anomalies are those records, which have different behavior and do not comply with the remaining records in the dataset. Outlier analysis is the concept to find anomalies in Datasets. Â Detecting outliers efficiently is a...
Design and Development of Apriori Algorithm for Sequential to concurrent mining using MPI
Owing to the conception of big data and massive data processing there are increasing owes related to the temporal aspects of the data processing. In order to address these issues a continuous progression in data col...
Activity Types Selection in Kindergarten Outdoor Education
Preschool education develops from focus on physical cultivation in traditional agricultural society to professional education in professional institutions such as kindergartens. In recent years, it emphasizes multiple de...
ON PROBABILTY DISTRIBUTION IN ASSOCIATION WITH A CERTAIN GENERALIZED HYPERGEOMETRIC FUNCTION
In the present paper, a probability function has been introduced in terms of the -function and its properties are studied. It is shown that the classical non-central distributions such as, non-central chi-square, non-cen...