Fluid Dynamics-II

Paper Code: 
24MAT422
Credits: 
5
Contact Hours: 
75.00
Max. Marks: 
100.00
Objective: 

This course will enable the students to -

  1. Understand the fundamentals of Fluid Dynamics and an appreciation of their application to real world problems.
  2. Apply the techniques used in deriving a range of important results and in research problems.

 

Course Outcomes: 

Course

Learning outcomes

(at course level)

Learning and teaching strategies

Assessment

Strategies

Course Code

Course Title

 

 

 

 

 

 

 

 

24MAT

422

 

Fluid Dynamics-II

 (Theory)

 

 

 

CO148: Analyse simple fluid velocity and temperature fields problems flow through pipe, over sphere etc. with Navier -Stoke's equation of motion.

CO149: Apply the concept of variable viscosity in fluid flow between parallel plates

CO150: Explain the theory of very slow motions flow past a sphere and Lubrication theory.

CO151: Derive the two-dimensional boundary layer equation for flow over a plane wall, Boundary layer on flat plate and Boundary layer flow past a wedge

CO152: Explain the two-dimensional thermal boundary layer equation for flow over a plane wall, forced and free convection in the laminar boundary layer on a flat plate.

CO153: Contribute effectively in course-specific interaction.

Approach in teaching:

Interactive Lectures, Discussion, Informative videos

 

Learning activities for the students:

Self learning assignments, Effective questions,  Topic  presentation, Assigned tasks

 

 

Quiz, Class Test, Individual projects,

Open Book Test, Continuous Assessment, Semester End Examination

 

 

 

Unit I: 
Exact Solutions of Navier-Stokes’ Equations with Variable Viscosity:
15.00

Variable viscosity plane Couette flow, Variable viscosity plane Poiseuille flow,  Flow due to plane wall suddenly set in the motion (Stokes’ first problem), Flow due to an oscillating plane wall (Stokes’ second problem), Starting flow in plane Couette motion.

 

Unit II: 
Starting Flow and Flow through Porous Wall:
15.00

Starting flow in a pipe, Plane Couette flow of a viscous compressible fluid, Plane Couette flow with transpiration cooling steady incompressible flow with fluid suction/injection through porous wall on the boundaries.

 

Unit III: 
Theory of Very Slow Motion:
15.00

Stokes’ and Oseen’s flows past a sphere, Lubrication theory.

 

Unit IV: 
Boundary Layer Equation:
15.00

Derivation of two-dimensional boundary layer equation for flow over a plane wall, Boundary layer on flat plate, Characteristic boundary layers parameters, Similar solutions of the boundary layer equations, Boundary layer flow past a wedge, Separation of boundary layers.

 

Unit V: 
Thermal Boundary Layer Equation:
15.00

Derivation of two-dimensional thermal boundary layer equation for flow over a plane wall, Forced convection in laminar boundary layer on a flat plate, Free convection from a heated vertical plate.

 

Essential Readings: 
  • J. L. Bansal, Viscous Fluid Dynamics, Jaipur Publishing House Jaipur, 2013.
  • R. K. Rathy, An Introduction to Fluid Dynamics, Oxford and IBH Publishing Co. 1976.
  • F. Chorlton, Textbook of Fluid Dynamics, CBS Publishers, Delhi, 2004.
  • L.D. Landau and E.N. Lipschitz, Fluid Mechanics, Pergamon Press, London, 2013.

 

SUGGESTED READING

  • Schaum's Outlines, Fluid Mechanics, McGraw-Hill Education, 1st edition, 2007.
  • G.K. Batchelor, An Introduction to Fluid Mechanics, Cambridge University Press, 2000.
  • M.D. Raisinghania, Fluid Dynamics, S. Chand & Co. Pvt. Ltd., New Delhi, 2003.
  • Pradip Niyogi, S.K. Chakrabartty and M.K. Laha, Introduction to Computational Fluid Dynamics, Pearson Education, 2006.

 

e- RESOURCES

 

JOURNALS

 

Academic Year: 
2024-2025
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