medium8 marks

Fluid Mechanics

17 Topics

30h prep

33% subject weight

17 Topics

Fluid properties

Density, viscosity, surface tension, compressibility.

1m2/10

📌 Key Formulaμ dynamic viscosity, ν = μ/ρ

Fluid statics

Pressure variation, manometry, buoyancy.

1m3/10

📌 Key FormulaP = ρgh, Archimedes

Forces on submerged bodies

Buoyancy and stability.

1m3/10

📌 Key FormulaBuoyant force = weight of displaced

Stability of floating bodies

Metacentric height calculation.

1m4/10

📌 Key FormulaGM = BM - BG

Control-volume analysis of mass

Continuity equation for steady/unsteady flow.

1m3/10

📌 Key Formulaρ1 A1 V1 = ρ2 A2 V2

Momentum and energy

Linear/angular momentum and energy equations.

2m4/10

📌 Key FormulaF = ρQ (V_out - V_in), Bernoulli

Fluid acceleration

Local and convective acceleration.

1m4/10

📌 Key Formulaa = ∂V/∂t + (V·∇)V

Differential equations of continuity and momentum

Navier-Stokes simplified forms.

1m5/10

📌 Key FormulaContinuity: ∇·V=0 for incompressible

Bernoulli’s equation

Energy conservation along streamline.

2m3/10

📌 Key FormulaP/ρg + V²/2g + z = constant

Dimensional analysis

Buckingham Pi theorem for similitude.

1m4/10

📌 Key FormulaNumber of π terms = n - m

Viscous flow of incompressible fluids

Laminar flow in pipes, Couette, Poiseuille.

1m4/10

📌 Key FormulaHagen-Poiseuille ΔP = 32 μ L V / D²

Boundary layer

Thickness, separation, Blasius solution.

2m4/10

📌 Key Formulaδ ≈ 5x / √Re_x

Elementary turbulent flow

Characteristics, Reynolds stresses.

1m4/10

📌 Key FormulaFriction factor Moody chart

Flow through pipes

Major and minor losses, Darcy-Weisbach.

2m3/10

📌 Key Formulah_f = f L V² / (2 g D)

Head losses in pipes

Friction and minor losses calculation.

1m3/10

📌 Key FormulaK for minor losses h_m = K V²/2g

Bends and fittings

Loss coefficients for pipe components.

1m3/10

📌 Key FormulaK values

Basics of compressible fluid flow

Mach number, isentropic flow, nozzles.

1m4/10

📌 Key FormulaM = V/a, choked flow at M=1

medium8 marks

Fluid Mechanics

17 Topics

30h prep

33% subject weight

17 Topics

Fluid properties

Density, viscosity, surface tension, compressibility.

1m2/10

📌 Key Formulaμ dynamic viscosity, ν = μ/ρ

Fluid statics

Pressure variation, manometry, buoyancy.

1m3/10

📌 Key FormulaP = ρgh, Archimedes

Forces on submerged bodies

Buoyancy and stability.

1m3/10

📌 Key FormulaBuoyant force = weight of displaced

Stability of floating bodies

Metacentric height calculation.

1m4/10

📌 Key FormulaGM = BM - BG

Control-volume analysis of mass

Continuity equation for steady/unsteady flow.

1m3/10

📌 Key Formulaρ1 A1 V1 = ρ2 A2 V2

Momentum and energy

Linear/angular momentum and energy equations.

2m4/10

📌 Key FormulaF = ρQ (V_out - V_in), Bernoulli

Fluid acceleration

Local and convective acceleration.

1m4/10

📌 Key Formulaa = ∂V/∂t + (V·∇)V

Differential equations of continuity and momentum

Navier-Stokes simplified forms.

1m5/10

📌 Key FormulaContinuity: ∇·V=0 for incompressible

Bernoulli’s equation

Energy conservation along streamline.

2m3/10

📌 Key FormulaP/ρg + V²/2g + z = constant

Dimensional analysis

Buckingham Pi theorem for similitude.

1m4/10

📌 Key FormulaNumber of π terms = n - m

Viscous flow of incompressible fluids

Laminar flow in pipes, Couette, Poiseuille.

1m4/10

📌 Key FormulaHagen-Poiseuille ΔP = 32 μ L V / D²

Boundary layer

Thickness, separation, Blasius solution.

2m4/10

📌 Key Formulaδ ≈ 5x / √Re_x

Elementary turbulent flow

Characteristics, Reynolds stresses.

1m4/10

📌 Key FormulaFriction factor Moody chart

Flow through pipes

Major and minor losses, Darcy-Weisbach.

2m3/10

📌 Key Formulah_f = f L V² / (2 g D)

Head losses in pipes

Friction and minor losses calculation.

1m3/10

📌 Key FormulaK for minor losses h_m = K V²/2g

Bends and fittings

Loss coefficients for pipe components.

1m3/10

📌 Key FormulaK values

Basics of compressible fluid flow

Mach number, isentropic flow, nozzles.

1m4/10

📌 Key FormulaM = V/a, choked flow at M=1