MTH642 Final Term Current Papers

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MTH642 Current Papers Subjective by MΛƬΉΣMΛƬICƧ

Q1. Define non-dimensional variable? Give an example of non-dimensional variable?

Non-dimensional (or dimensionless) variables are defined as quantities that change or vary in the problem, but have no dimensions.

Example is angle of rotation, measured in degrees or radians which are dimensionless units.

Q2. write the differential form of Newton Second law of motion in terms of linear momentum. What does this expression states?

Newton’s second law states that the acceleration of a body is proportional to the net force acting on it and is inversely proportional to its mass, and that the rate of change of the momentum of a body is equal to the net force acting on the body.

Newton’s second law: F=ma

=m dv / dt

= d (mv)/dt

Newton second law is also decision as “time rate of change of liner momentum”.

Q3. p

v t into the Cartesian coordinates where V= (u, v, w).

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As we know that rate f change of mass within CV

Q4. Write the continuity equation for compressible flow in cylinderical coordinates.

Q5. The equation of motion

d z g dt

= − discharging the derivation z of an object

falling by gravity through a result in a

o o z z w t gt after integrating and applying the initial condition. Find the non dimensional form of the given result.

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Q6. Water is flowing from a house attaches to a water main. A child place his thumb to corner most of house outlet, causing a thin jet of high-speed water to emerge attaining the water height will be maximum under the stated assumption. Height of 20m if the house is held upward, what could be pressure gage in the water main?

Answer: /////////////////////////////////////////

Q7. Expand the material derivative Dp

Dt .

We expand p V t