, it is specifically designed to meet the rigorous requirements of competitive examinations like CSIR-NET, GATE, and UPSC Key Highlights of the Book Comprehensive Scope : The text spans over
It bridges the gap between basic fluid statics and advanced fluid kinematics/dynamics.
The exam regularly features advanced questions on fluid mechanics under the Applied Mathematics section. The book provides the exact proof mechanisms and analytical rigor required to clear these high-level questions. UPSC Civil Services (Mathematics Optional)
Application of the method of images to satisfy boundary conditions. 4. General Theory of Irrotational Motion
According to Raisinghania, the governing equations for fluid motion include:
The book breaks down highly abstract mathematical physics concepts into step-by-step derivations. It avoids sudden jumps in mathematical logic, making it easier for self-study. 2. Large Number of Solved Examples
Equation of continuity in Cartesian, cylindrical, and spherical coordinates 2. Equations of Motion of Inviscid Fluids Eulerian and Lagrangian methods of description Euler’s equations of motion Bernoulli’s equation and its applications Cauchy’s integrals and Kelvin’s circulation theorem 3. Motion in Two Dimensions Stream function (Streamlines) and Velocity potential Complex potential for standard flows Sources, sinks, doublets, and their images Conformal mapping applications to fluid flow Blasius theorem 4. General Theory of Irrotational Motion Motion of a sphere in an infinite liquid mass Motion of cylinders in two dimensions Concentric spheres and cylinders 5. Vortex Motion Vorticity and circulation Vortex lines and vortex tubes Kelvin’s vortex theorems Rectilinear vortices and vortex pairs 6. Viscous Fluid Flow Navier-Stokes equations of motion Laminar flow between parallel plates Steady flow through a circular pipe (Hagen-Poiseuille flow) Boundary layer theory concepts High-Utility Study Strategy for Competitive Exams
Boundary layer theory, vortex motion, and gas dynamics (including shock waves and nozzle flow). Why It's Recommended
Proof of the conservation of circulation in an inviscid, barotropic fluid.
This is the most common question students have. While unauthorized PDF copies may circulate on various file-sharing websites, it is strongly recommended to access the book through legitimate channels. Downloading copyrighted material without payment or permission is illegal and undermines the author's and publisher's work.