Fluid flow in a straight duct is of great importance. It has large applications in chemical and mechanical engineering. A lot of research works regarding fully developed flow have been carried out at different times.
The aim of this thesis is to make some numerical calculations on the fluid flow in a rotating rectangular straight duct in presence of magnetic field which has been interested to the engineering communication and to the investigators dealing with the problem in many industrial applications.
The results of this investigation may not have direct practical applications but are relevant to the problems mentioned above. The fluid flowing through a rectangular straight duct to rotate at a constant angular velocity about an axis normal to a plane including the duct is subjected to both Coriolis and centrifugal forces. Such rotating passages are used in cooling systems for conductors of electric generators. Flow in a rotating straight pipe is of interest because the secondary flows in this case are qualitatively similar to those in stationary curved system in view of the similar centrifugal mechanism including the secondary curved systems.
Inhaltsverzeichnis (Table of Contents)
- Abstract
- Acknowledgement
- Nomenclature
- List of Figure
- Introduction
- Chapter 1 Literature Review
- 1.1 Magnetohydrodynamics
- 1.2 Some useful Parameters
- 1.3 Fully Developed Flows in Rectangular Curved Duct
- 1.4 Developing Flow in Pipes and Rectangular Ducts
- 1.5 Rotating Duct
- 1.6 MHD flow in a Duct and Pipes
- Chapter 2 Governing Equation
- 2.1 Governing Equation
- 4.1 Introduction
- 4.2 Governing Equation
- 4.3 Numerical Solution
- 4.4 Results and Discussion
Zielsetzung und Themenschwerpunkte (Objectives and Key Themes)
The primary objective of this thesis is to numerically investigate the fluid flow through a rotating rectangular straight duct under the influence of a magnetic field. The study aims to analyze the combined effects of magnetic force, rotation, and duct geometry on the flow characteristics. Key themes explored include:- The impact of the magnetic parameter (Mg) on the flow structure and solution behavior.
- The influence of the Taylor number (Tr) on the development of secondary flow patterns.
- The role of the Dean number (Dn) in determining the flow rate and velocity profiles.
- The significance of the aspect ratio (J) in shaping the flow characteristics within the duct.
- The complex interplay between these parameters and their combined effects on the fluid flow.
Zusammenfassung der Kapitel (Chapter Summaries)
- Chapter 1: Literature Review - This chapter provides a comprehensive overview of previous research on flow in straight and curved ducts, magnetohydrodynamics (MHD), and rotating ducts. It highlights key findings, methodologies, and the historical development of these fields.
- Chapter 2: Governing Equation - This chapter outlines the fundamental governing equations that describe the fluid flow under consideration. It presents the Navier-Stokes equation, the continuity equation, and the generalized Ohm's law in a rotating rectangular duct subjected to a magnetic field along the center line.
- Chapter 3: Numerical Technique - This chapter delves into the numerical techniques employed to solve the governing equations. It focuses on the Spectral method, which serves as the main numerical tool, and discusses its implementation, including the Chebyshev polynomial, Collocation method, and Arc length method as secondary tools.
- Chapter 4: Flow through a Rotating Rectangular Straight Duct with Magnetic Field along Center Line - This chapter presents the results of the numerical simulations, focusing on the effects of magnetic parameter (Mg), Taylor number (Tr), Dean number (Dn), and aspect ratio (J) on the flow characteristics. It explores the steady solution curves, secondary flow patterns, and axial flow structures in the rotating duct.
Schlüsselwörter (Keywords)
This thesis focuses on the analysis of magnetohydrodynamics (MHD) flow through a rotating straight rectangular duct. Key concepts and topics investigated include:- Magnetic Effects
- Fluid Flow
- Rotating Duct
- Rectangular Geometry
- Spectral Method
- Dean Number
- Taylor Number
- Aspect Ratio
- Quote paper
- Md Kamruzzaman (Author), 2012, Magnetic Effects on Fluid Flow through a Rotating Straight Rectangular Duct, Munich, GRIN Verlag, https://www.grin.com/document/265090
