GATE Section-XE-B Fluid Mechanics Syllabus


Course Syllabus

Unit 1: Flow and Fluid Properties

  • Viscosity
  • Relationship between stress and strain-rate for Newtonian fluids
  • Incompressible and compressible flows
  • Differences between laminar and turbulent flows
  • Hydrostatics: Buoyancy, manometry, forces on submerged bodies

Unit 2: Kinematics

  • Eulerian and Lagrangian description of fluids motion
  • Concept of local and convective accelerations
  • Steady and unsteady flows

Unit 3: Integral Analysis

  • Control volume analysis for mass, momentum and energy

Unit 4: Differential Analysis

  • Differential equations of mass and momentum for incompressible flows: inviscid – Euler equation and viscous flows - Navier-Stokes equations, concept of fluid rotation, vorticity, stream function, Exact solutions of Navier-Stokes equation for Couette Flow and Poiseuille flow

Unit 5: Inviscid Flows

  • Bernoulli’s equation - assumptions and applications, potential function, Elementary plane flows - uniform flow, source, sink and doublet and their superposition for potential flow past simple geometries

Unit 6: Dimensional Analysis

  • Concept of geometric, kinematic and dynamic similarity, some common nondimensional parameters and their physical significance: Reynolds number, Froude number and Mach number

Internal Flows

  • Fully developed pipe flow, empirical relations for laminar and turbulent flows: friction factor and Darcy-Weisbach relation

Unit 8: Prandtl boundary layer equations

  • Concept and assumptions, qualitative idea of boundary layer and separation, streamlined and bluff bodies, drag and lift forces

  • Flow measurements −

    • Basic ideas of flow measurement using venturimeter, pitot-static tube and orifice plate

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