Mathematical Hydrostatics by Ganesh Chandra Gorain, published by the New Central Book Agency (NCBA).

Name: Mathematical Hydrostatics by Ganesh Chandra Gorain, published by the New Central Book Agency (NCBA). - Booksbp.com
SKU: 9789352550791
Price: 190.00 INR
Availability: InStock

Original price was: ₹235.00.Current price is: ₹190.00.

SKU: 9789352550791

1. Fundamental Properties of Fluids:-

Basic Properties: Mathematical definitions of fluid density, relative density, mass density, and specific weight (w = ρ g).
Fluid Pressure: Definition of pressure at a point inside a static liquid.
Pascal’s Law: Transmission of fluid pressure undiminished in all directions through an enclosed fluid, accompanied by its rigorous mathematical proofs.
Pressure Variation: Calculating pressure changes along a vertical column (P = P₀ + ρ gh) under the influence of gravity.

2. Thrust on Immersed Plane Surfaces

Resultant Thrust: Calculating the total normal force (thrust) exerted by a liquid on submerged flat surfaces.
Surface Orientations: Detailed mathematical analysis for horizontal, vertical, and inclined planes submerged in single or multiple layered fluids.
Centre of Pressure: Formulas and geometric coordinates representing the specific point where the total fluid thrust acts on a submerged plane.

3. Thrust on Curved Surfaces

Components of Thrust: Resolving fluid forces acting on a curved boundary into vertical and horizontal vectors.
Resultant Force Calculation: Methods to locate the specific line of action and magnitude of the net force acting on spherical, cylindrical, and arbitrary curved structural boundaries.

4. Equilibrium of Floating Bodies

Archimedes’ Principle: Proving and applying the principle of buoyancy (upthrust equals the weight of the fluid displaced).
Conditions of Equilibrium: Determining the mathematical equilibrium requirements for completely submerged or partially floating bodies.
Stability Analysis: Finding the Metacentre and calculating metacentric height to mathematically evaluate stable, unstable, and neutral equilibrium states.

5. Gases and Atmospheric Hydrostatics

Gas Laws: Hydrostatic relationships when operating with compressible fluids using Boyle’s and Charles’ laws.
Atmospheric Equilibrium: Evaluation of pressure distributions in a gas layer under varying temperatures, convective equilibrium, and heights.