The continuity equation for incompressible flow states that:
AA₁V₁ = A₂V₂
BA₁V₁² = A₂V₂²
CA₁²V₁ = A₂²V₂
DV₁/A₁ = V₂/A₂
Correct Answer:
A. A₁V₁ = A₂V₂
EXPLANATION
The continuity equation for incompressible flow is based on mass conservation: ρA₁V₁ = ρA₂V₂, which simplifies to A₁V₁ = A₂V₂ when density is constant.
Which of the following statements about streamline flow is correct?
AStreamlines can intersect each other
BStreamlines are paths followed by fluid particles
CStreamlines form closed loops in steady flow
DVelocity is perpendicular to streamline
Correct Answer:
B. Streamlines are paths followed by fluid particles
EXPLANATION
Streamlines represent the paths followed by individual fluid particles in steady flow. They cannot intersect, and velocity is always tangential to streamlines.
According to the Second Law of Thermodynamics, for a spontaneous process in an isolated system, the entropy must:
ADecrease
BRemain constant
CIncrease
DFirst increase then decrease
Correct Answer:
C. Increase
EXPLANATION
Second Law states that entropy of an isolated system increases for spontaneous (irreversible) processes and remains constant only for reversible processes
In a Diesel cycle, which process represents constant pressure heat addition?
AIsentropic process
BIsobaric process
CIsochoric process
DIsothermal process
Correct Answer:
B. Isobaric process
EXPLANATION
The Diesel cycle has constant pressure heat addition (isobaric process) between the initial compression and subsequent expansion, distinguishing it from the Otto cycle