Engineering reference for Indian students

Core process

Momentum Transfer (Fluid Mechanics)

5 self-contained study topics — notes, diagrams, formulas, and worked examples for exams and GATE.

Topics

Fluid Statics and Dynamics
Fluid statics uses the hydrostatic equation for pressure variation with depth; fluid dynamics combines continuity (mass conservation) with Bernoulli’s energy equation, extended by a friction-loss term for real pipe flow.
Flow Through Packed Beds
Pressure drop through a packed bed is given by the Ergun equation, which sums a viscous term (dominant at low flow) and an inertial term (dominant at high flow), both strongly dependent on void fraction ε and particle size d_p.
Boundary Layer Theory
Near a wall the velocity rises from zero to free-stream across the boundary layer; for a laminar flat plate δ ≈ 5x/√Re_x (Blasius) and C_f = 1.328/√Re_L. Separation occurs under an adverse pressure gradient, per Modi & Seth.
Non Newtonian Flow
Non-Newtonian fluids have a shear-rate-dependent viscosity; the power-law model τ = K(dV/dy)^n covers shear-thinning (n < 1) and shear-thickening (n > 1) behaviour, and the Metzner-Reed Reynolds number extends pipe-flow friction correlations to them.
$Bingham plastic: \tau = \tau_{y} + \mu_{p} (\frac{dV}{dy}) above the yield stress \tau_{y}$
Pipeline Network Analysis
Pipe networks are solved with Darcy-Weisbach head loss and a friction factor from the Moody chart, applying node continuity and loop head-balance rules; series pipes share flow and add losses while parallel pipes share pressure drop and split flow.