WorksheetsDay 40-Oct 30-Worksheet-Diploma-Dimensional analysis
Total questions: 15
Worksheet time: 9mins
Which dimensional analysis method is more suitable when the number of variables exceeds 4?
Rayleigh’s method
Buckingham π method
Integration method
Reynolds method
The ratio of inertia force to viscous force is represented by:
Weber number
Froude number
Reynolds number
Euler number
Froude number is most relevant for:
Compressible flows
Free surface open channel flows
Cavitation studies
Flow with high viscosity
The dimensionless number used for compressible fluid flow is:
Mach number
Froude number
Weber number
Reynolds number
Which similarity ensures that all forces in model and prototype act in constant ratio?
Thermal similarity
Geometric similarity
Kinematic similarity
Dynamic similarity
A dynamically similar system is always kinematically and geometrically similar.
True
False
Surface tension force is neglected in large hydraulic models because it is directly proportional to volume.
True
False
Assertion (A): Reynolds model law is used for partially submerged flow systems. Reason (R): Reynolds number is the ratio of inertia force to viscous force.
Both A and R are true, and R is the correct explanation
Both A and R are true, but R is not the explanation
A true, R false
A false, R true
For a model to satisfy kinematic similarity, it must first satisfy (a) similarity.
The ratio of inertial force to gravity force is represented by (a) number.
Dynamic viscosity has the dimensional formula (a) .
The ratio of model speed to prototype speed under Froude similarity is (a) .
. A prototype pipe has diameter 1.0 m and velocity 2 m/s. A similar model has diameter 0.2 m using same fluid. Find model velocity and discharge ratio (Reynolds similarity).
(a)
A ship prototype of length 100 m moves at 10 m/s. A similar model is built to 1:25 scale. Find model speed and time ratio (Froude similarity).
(a)
Water flows in a 0.05 m pipe at velocity 1.2 m/s. Density = 1000 kg/m³, viscosity = 1×10⁻³ Pa·s. Find Reynolds number.
(a)
