Discipline

Fluid Kinematics

Fluid Kinematics problems on stream lines, continuity equation, velocity potential, and flow patterns. Essential for civil engineering exam preparation.

Solved numericalIf u = ax, v = ay and w = -2az are the velocity components for a fluid flow, check whether they satisfy the co…Water Resources · 3 min read
Solved numericalGiven the velocity vector V = ax i + by I, where a, b = constant. Plot the streamlines of flow and explain whe…Water Resources · 4 min read
Solved numericalShow that the following stream function represents an irrotational flow. ψ=6x-4y+7xy+9Water Resources · 2 min read
Solved numericalThe velocity components in a two-dimensional flow are: u=8x^2 y-8/3 y^3, v=-8(xy)^2+8/3 x^3. Show that these v…Water Resources · 2 min read
Solved numericalFor the velocity potential function given as: u = ay sinxy, v = ax sinxy, obtain an expression for velocity po…Water Resources · 2 min read
Solved numericalThe stream function for a two dimensional flow is given by ψ=8xy. Find the velocity potential function.Water Resources · 1 min read
Solved numericalIf, for a two dimensional potential flow, the velocity potential is given by ϕ=4x(3y-4), determine the velocit…Water Resources · 1 min read
Solved numericalA stream function (ψ) is given by ψ=2x-5y. Calculate the velocity components, and magnitude and direction of r…Water Resources · 1 min read
Solved numericalThe velocity potential (ϕ) is given by ϕ=x^2-y^2. Find the velocity components in x and y direction. Also show…Water Resources · 1 min read
Solved numericalWater flows from A to D and E through series pipelines shown in the figure.Diameter of pipe AB = 50mm, Diamete…Water Resources · 1 min read
Solved numericalThe water tank in the following figure is being filled through section 1 at v1 = 5m/s and through section 3 at…Water Resources · 1 min read
Solved numericalA 40cm diameter pipe, conveying water, branches into two pipes of diameters 30cm and 20cm respectively. If the…Water Resources · 1 min read
Solved numericalA conical pipe diverges uniformly from 0.1m to 0.2m diameter over a length of 1m. Determine the local and conv…Water Resources · 4 min read
Solved numericalGiven the velocity field: V=(6+2xy+t^2 )i-(xy^2+10t)j+25k What is the acceleration of a particle at (3, 0, 2)…Water Resources · 1 min read
Solved numericalA 30 cm diameter pipe carries oil of sp. gr. 0.8 at a velocity of 2m/s. At another section the diameter is 20c…Water Resources · 1 min read
Solved numericalWater is flowing through a pipe of 2.5cm diameter with a velocity of 0.5m/s. Compute the discharge in m3/s and…Water Resources · 1 min read