Difference Between Mass and Weight
In physics, mass and weight are fundamental concepts that are often misunderstood or used interchangeably. While they are closely related, […]
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S.I. Units and Conversion Factors
Introduction to S.I. Units The International System of Units (S.I.) is organized into three primary categories: Base Units Derived Units
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Sand Bath Method for Soil Water Content
1. Introduction to Sand Bath Method The Sand Bath Method is a field technique designed for the rapid estimation of
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The pressure drop in an aeroplane model of size 1/50 of its prototype is 4 N/cm². The model is tested in water. Find the corresponding pressure drop in prototype. Take density of air = 1.24 kg/m³. The viscosity of water is 0.01 poise while the viscosity of air is 0.00018 poise.
Fluid Mechanics Problem Solution Problem Statement The pressure drop in an aeroplane model of size 1/50 of its prototype is
A spillway model is to be built geometrically similar scale of 1/40 across a flume of 50cm width. The prototype is 20m high and the maximum head on it is expected to be 2m. (a) What height of the model and what head on the model should be used? (b) If the flow over the model at a particular head is 10 lps, what flow per m length of the prototype is expected? (c) If the negative pressure in the model is 150mm, what is the negative pressure in the prototype?
Fluid Mechanics Problem Solution Problem Statement A spillway model is to be built geometrically similar scale of 1/40 across a
In 1:30 model of a spillway, the velocity and discharge are 1.5m/s and 2 m³/s. Find the corresponding velocity and discharge in the prototype.
Fluid Mechanics Problem Solution Problem Statement In 1:30 model of a spillway, the velocity and discharge are 1.5m/s and 2
A ship 250m long moves in seawater, whose density is 1030 kg/m³. A 1:125 model of this ship is to be tested in wind tunnel. The velocity of air in the wind tunnel around the model is 20m/s and the resistance of the ship is 50N. Determine the velocity and resistance of the ship in seawater.
Fluid Mechanics Problem Solution Problem Statement A ship 250m long moves in seawater, whose density is 1030 kg/m³. A 1:125
A pipe of diameter 1.8m is required to transport oil of sp.gr. 0.8 and viscosity 0.04 poise at the rate of 4 m³/s. Tests were conducted on a 20cm diameter pipe using water at 20°C. Find the velocity and rate of flow in the model.
Fluid Mechanics Problem Solution Problem Statement A pipe of diameter 1.8m is required to transport oil of sp.gr. 0.8 and
Show by dimensional analysis that the power P required to operate a test tunnel is given by P=ρL²V³ϕ(μ/ρLV) where ρ is density of fluid, μ is viscosity, V is fluid mean velocity, P is the power required and L is the characteristics tunnel length.
Fluid Mechanics Problem Solution Problem Statement Show by dimensional analysis that the power P required to operate a test tunnel
The pressure difference (∆P) in a pipe of diameter (D) and length (L) due to viscous flow depends on the velocity of fluid (V), viscosity (µ) and density (ρ). Using Buckingham’s π theorem, show that ∆P=(µVL)/D² · f(Re) where Re=ρDV/μ is Reynold’s number.
Fluid Mechanics Problem Solution Problem Statement The pressure difference (∆P) in a pipe of diameter (D) and length (L) due
If the resistance to motion of a sphere through a fluid (R) is a function of the density (ρ), viscosity (µ) of the fluid, and the radius (r) and velocity (u) of the sphere, develop a relationship of R using Buckingham’s π theorem.
Fluid Mechanics Problem Solution Problem Statement If the resistance to motion of a sphere through a fluid (R) is a
Power input to a propeller (P) is expressed in terms of density of air (ρ), diameter (D), velocity of the air stream (V), rotational speed (ω), viscosity (µ) and speed of sound (C). Show that P=cρω^3 D^5 where c = constant. Use Rayleigh’s method.
Fluid Mechanics Problem Solution Problem Statement Power input to a propeller (P) is expressed in terms of density of air