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Course
Pro-forma
Bachelor of Engineering (Chemical)
Code
KKEK2156
Title
Momentum Transfer
Pre-requisite
KKEK 1153, KXEX 2245, KXEX 3244
Student Learning Time (SLT)
120 hours
Credit
3
Learning Outcomes
1.
Solve problems using overall momentum balances for
macroscopic systems.
2.
Explain the basis for the derivation of the continuity and the
Navier-Stokes equation.
3.
Apply Navier-Stokes equation to solve simple momentum
transfer problems analytically, i.e uni-directional flow, Stokes
flow, flow in one dimension.
4.
Explain the basis of numerical solution of the Navier-Stokes
equation for more complicated cases, e.g. Blasius’s solution of
the laminar boundary layer equations.
5.
Explain features and characterization of non-Newtonian fluids,
and know the inapplicability of the Navier-Stokes equation.
6.
Explain the modelling and experimental approaches to complex
flow (e.g. turbulent flow, multiphase flow)..
Synopsis
Macroscopic mass and linear momentum balance using vector
notation begins the course. This is followed by expression of
stresses due to fluid motion, leading to the viscous stress tensor for
compact representation. The extended Divergence Theorem
enables conversion into the differential form, i.e. Cauchys first
equation of motion. The alternative approach based on differential
momentum balance yields identical result. Application of the
inviscid or Newtonian constitutive equation leads respectively to the
Euler equation and the Navier-Stokes equation. Discussions on
initial and boundary conditions follow. Sample problems amenable
to analytical solutions will be discussed. Software packages and
formulation to facilitate numerical solutions will also be touched.
The constitutive equations for non-Newtonian fluids widen the
applicability of Cauchys equation, allowing friction factor
expressions. The inability to compute even more complex flows
reasonably will require use of correlations; in which the caution
required must be highlighted.
Assessment
40 % Continuous Assessments
60 % Final Examination
References
1.
Transport Phenomena, revised 2nd. Ed., R. B. Bird, W. E.
Stewart & E. N. Lightfoot, John Wiley & Sons, 2007.
2.
“Fundamentals of Momentum, Heat, and Mass Transfer”, J. R.
Welty, C. E. Wicks, R. E. Wilson & G. L. Rorrer, John Wiley &
Sons, 5th. ed., 2008.
Soft Skills
Critical Thinking and Problem Solving Skills (CT1-CT3)