An Essential Need of Modern Civilization… P M V Subbarao Professor Mechanical Engineering Department I I T Delhi Micro & Compressible Viscous Fluid Flows.

Slides:

Advertisements

Similar presentations

Chapter Four Fluid Dynamic

Advertisements

Chapter Four Fluid Dynamic

Fluid Mechanics for Mechanical Engineering Viscous Flow in Ducts

Thermodynamics & Gas dynamics of Real Combustion in Turbo Combustor P M V Subbarao Professor Mechanical Engineering Department Tools for precise estimation.

Conservation of Linear Momentum.

The Art of Comparing Force Strengths… P M V Subbarao Professor Mechanical Engineering Department I I T Delhi Diagnosis of NS Equations.

VIII. Viscous Flow and Head Loss. Contents 1. Introduction 2. Laminar and Turbulent Flows 3. Friction and Head Losses 4. Head Loss in Laminar Flows 5.

A Mathematical Frame Work to Create Fluid Flow Devices…… P M V Subbarao Professor Mechanical Engineering Department I I T Delhi Conservation Laws for.

Simple Useful Flow Configurations … P M V Subbarao Professor Mechanical Engineering Department I I T Delhi Exact Solutions of NS Equations.

MECH 221 FLUID MECHANICS (Fall 06/07) Chapter 9: FLOWS IN PIPE

CHE/ME 109 Heat Transfer in Electronics

California State University, Chico

An Essential Need of Modern Civilization… P M V Subbarao Professor Mechanical Engineering Department I I T Delhi Viscous Fluid Flows in Ducts.

High Speed Ducts for Global Needs of Nation… P M V Subbarao Professor Mechanical Engineering Department I I T Delhi Compressible Viscous Fluid Flows in.

Estimation of Prandtls Mixing Length

Boundary Layer Correction of Viscous Flow Through 2 D Turbine Cascades

Analysis of Physical Intuition … P M V Subbarao Professor Mechanical Engineering Department I I T Delhi Two-dimensional Boundary Layer Flows.

An Ultimate Combination of Physical Intuition with Experiments… P M V Subbarao Professor Mechanical Engineering Department I I T Delhi Boundary Layer.

Slip to No-slip in Viscous Fluid Flows

Correlations for INTERNAL CONVECTION P M V Subbarao Associate Professor Mechanical Engineering Department IIT Delhi An Essential Part of Exchanging Heat……..

Fluid Mechanics 08.

Reynolds Method to Diagnosize Symptoms of Infected Flows.... P M V Subbarao Professor Mechanical Engineering Department I I T Delhi Reynolds Averaged.

Fluid mechanics 3.1 – key points

CBE 150A – Transport Spring Semester 2014 Friction Losses Flow through Conduits Incompressible Flow.

C & CD Nozzles for Jet Propulsion

In the analysis of a tilting pad thrust bearing, the following dimensions were measured: h1 = 10 mm, h2 = 5mm, L = 10 cm, B = 24 cm The shaft rotates.

Chapter IV Compressible Duct Flow with Friction

Dr. Jason Roney Mechanical and Aerospace Engineering

Analysis of Disturbance P M V Subbarao Associate Professor Mechanical Engineering Department I I T Delhi Modeling of A Quasi-static Process in A Medium.

Boundary Layer Laminar Flow Re ‹ 2000 Turbulent Flow Re › 4000.

Quasi - One Dimensional Flow with Heat Addition P M V Subbarao Professor Mechanical Engineering Department I I T Delhi A Gas Dynamic Model for Combustion.

CP502 Advanced Fluid Mechanics

CP502 Advanced Fluid Mechanics Compressible Flow Lectures 1 & 2 Steady, quasi one-dimensional, isothermal, compressible flow of an ideal gas in a constant.

Historically the First Fluid Flow Solution …. P M V Subbarao Professor Mechanical Engineering Department I I T Delhi Second Class of Simple Flows.

One Dimensional Flow of Blissful Fluid -III P M V Subbarao Professor Mechanical Engineering Department I I T Delhi Always Start with simplest Inventions……..

Reynolds Transport Theorem We need to relate time derivative of a property of a system to rate of change of that property within a certain region (C.V.)

One Dimensional Flow with Heat Addition

Unit 1: Fluid Dynamics An Introduction to Mechanical Engineering: Part Two Fluid dynamics Learning summary By the end of this chapter you should have learnt.

Convective Heat Transfer in Porous Media filled with Compressible Fluid subjected to Magnetic Field Watit Pakdee* and Bawonsak Yuwaganit Center R & D on.

Model to Schedule A Flow Path through A Turbo-machine P M V Subbarao Professor Mechanical Engineering Department Description of the Journey is More Important.

Pipes for Global Energy Needs of Nation… P M V Subbarao Professor Mechanical Engineering Department I I T Delhi Gas Flows & Maximum Capacity of A Pipe.

The Stability of Laminar Flows - 2

Convection in Flat Plate Boundary Layers P M V Subbarao Associate Professor Mechanical Engineering Department IIT Delhi A Universal Similarity Law ……

Mechanical Energy Balance

Quantification of the Infection & its Effect on Mean Fow.... P M V Subbarao Professor Mechanical Engineering Department I I T Delhi Modeling of Turbulent.

Compressible Frictional Flow Past Wings P M V Subbarao Professor Mechanical Engineering Department I I T Delhi A Small and Significant Region of Curse.

Poiseuille (pressure-driven) steady duct flows

INTRODUCTION TO CONVECTION

Introduction to Fluid Mechanics

Introduction to Fluid Mechanics

Stokes Solutions to Low Reynolds Number Flows

An Ultimate Combination of Physical Intuition with Experiments… P M V Subbarao Professor Mechanical Engineering Department I I T Delhi Boundary Layer.

Friction Losses Flow through Conduits Incompressible Flow.

Convection Heat Transfer in Manufacturing Processes P M V Subbarao Professor Mechanical Engineering Department I I T Delhi Mode of Heat Transfer due to.

Viscosità Equazioni di Navier Stokes. Viscous stresses are surface forces per unit area. (Similar to pressure) (Viscous stresses)

CONVECTION : An Activity at Solid Boundary P M V Subbarao Associate Professor Mechanical Engineering Department IIT Delhi Identify and Compute Gradients.

An Unified Analysis of Macro & Micro Flow Systems… P M V Subbarao Professor Mechanical Engineering Department I I T Delhi Wall Bound Flows.

Gas Dynamics of Flow through Valves Method to Estimate the Flow Capacity of Valve Passage…. P M V Subbarao Professor Mechanical Engineering Department.

Chapter 1: Basic Concepts

Major loss in Ducts, Tubes and Pipes

Great Innovations are possible through General Understanding …. P M V Subbarao Professor Mechanical Engineering Department I I T Delhi Thermodynamic View.

An Unified Analysis of Macro & Micro Flow Systems… P M V Subbarao Professor Mechanical Engineering Department I I T Delhi Slip to No-slip in Viscous Fluid.

Chapter 4 Fluid Mechanics Frank White

Subject Name: FLUID MECHANICS

Introduction to Fluid Mechanics

Design of Passive (Adiabatic) Control Volumes

Analysis of the Simplest Flow

FLUID MECHANICS REVIEW

12. Navier-Stokes Applications

Presentation transcript:

An Essential Need of Modern Civilization… P M V Subbarao Professor Mechanical Engineering Department I I T Delhi Micro & Compressible Viscous Fluid Flows in Ducts

Engineering Solution for Hagen-Poiseuille Flow Conventional engineering flows: Kn < Micro Fluidic Devices : Kn < 0.1 Ultra Micro Fluidic Devices : Kn <1.0 The Wall Boundary Conditions. or  u s uw uw Wall

Micro Engineering Mild Slip Hagen-Poiseuille Flow The first order slip condition: For a flow through an immobile pipe:

The micro engineering pipe-flow solution is thus Mean & Maximum Flow Velocities The Wall Shear Stress Friction Factor

Popular Creeping Flows Fully developed duct Flow. Flow about immersed bodies Flow in narrow but variable passages. First formulated by Reynolds (1886) and known as lubrication theory, Flow through porous media. This topic began with a famous treatise by Darcy (1856 Civil engineers have long applied porous-media theory to groundwater movement. by-JamesFay/2003/Textbook/Nodes/chap06/node17.html

Further Use of Mean Velocity for High Speed Flows

Compressible (Average) Frictional Flow in A Constant Area Duct ww Self similar compressible fully developed flow through ducts

Frictional Flow in A Constant Area Duct ww The shear stress is defined as an average viscous stress which is always opposite to the direction of flow for the entire length dx. Divide by  V 2

1D steady real flow through constant area duct : momentum equation

One dimensional Frictional Flow of A Perfect Gas

Sonic Equation Differential form of above equation:

Energy equation can be modified as:

Differential Equations for Frictional Flow Through Constant Area Duct