Fluid Kinematics

If u = ax, v = ay and w = -2az are the velocity components for a fluid flow, check whether they satisfy the continuity equation. If they do, is the flow rotational or irrotational? Also obtain equation of streamlines passing through the point (2, 2, 4).

Three-Dimensional Flow Analysis Problem Statement The velocity components in a three-dimensional flow are: u = ax v = ay w […]

If u = ax, v = ay and w = -2az are the velocity components for a fluid flow, check whether they satisfy the continuity equation. If they do, is the flow rotational or irrotational? Also obtain equation of streamlines passing through the point (2, 2, 4). Read More »

The 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 velocity components represent a possible case of an irrotational flow.

Irrotational Flow Analysis Problem Statement The velocity components in a two-dimensional flow are: u = 8x²y – 8/3y³ v =

The 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 velocity components represent a possible case of an irrotational flow. Read More »

If, for a two dimensional potential flow, the velocity potential is given by ϕ=4x(3y-4), determine the velocity at point (2, 3). Determine also the value of stream function ψ at point (2, 3).

Potential Flow Analysis Problem Statement If, for a two dimensional potential flow, the velocity potential is given by: φ =

If, for a two dimensional potential flow, the velocity potential is given by ϕ=4x(3y-4), determine the velocity at point (2, 3). Determine also the value of stream function ψ at point (2, 3). Read More »

The velocity potential (ϕ) is given by ϕ=x^2-y^2. Find the velocity components in x and y direction. Also show that ϕ represents a possible case of fluid flow.

The velocity potential (ϕ) is given by ϕ=x^2-y^2. Find the velocity components in x and y direction. Also show that

The velocity potential (ϕ) is given by ϕ=x^2-y^2. Find the velocity components in x and y direction. Also show that ϕ represents a possible case of fluid flow. Read More »

Water flows from A to D and E through series pipelines shown in the figure.Diameter of pipe AB = 50mm, Diameter of pipe BC = 75mm, Diameter of pipe CE = 30mm, velocity in pipe BC = 2m/s, velocity in pipe CD = 1.5m/s, Q3 =2Q4 Compute Q1, V1, Q2, d3 and V4.

Water flows from A to D and E through series pipelines shown in the figure.Diameter of pipe AB = 50mm, Diameter of pipe BC = 75mm, Diameter of pipe CE = 30mm, velocity in pipe BC = 2m/s, velocity in pipe CD = 1.5m/s, Q3 =2Q4 Compute Q1, V1, Q2, d3 and V4.

Series Pipeline Flow Analysis Problem Statement Water flows through series pipelines A-B-C with branches C-D and C-E: Pipe AB: d₁

Water flows from A to D and E through series pipelines shown in the figure.Diameter of pipe AB = 50mm, Diameter of pipe BC = 75mm, Diameter of pipe CE = 30mm, velocity in pipe BC = 2m/s, velocity in pipe CD = 1.5m/s, Q3 =2Q4 Compute Q1, V1, Q2, d3 and V4. Read More »

. The water tank in the following figure is being filled through section 1 at v1 = 5m/s and through section 3 at Q3 = 0.012 m3/s. If water level h is constant, determine the exit velocity v2.

The water tank in the following figure is being filled through section 1 at v1 = 5m/s and through section 3 at Q3 = 0.012 m3/s. If water level h is constant, determine the exit velocity v2.

Tank Flow Analysis: Steady-State Condition Problem Statement A water tank with constant level h receives flow through: Section 1: Velocity

The water tank in the following figure is being filled through section 1 at v1 = 5m/s and through section 3 at Q3 = 0.012 m3/s. If water level h is constant, determine the exit velocity v2. Read More »

A 40cm diameter pipe, conveying water, branches into two pipes of diameters 30cm and 20cm respectively. If the discharge in the 40cm diameter pipe is 0.38m3/s, compute the average velocity in this pipe. If the average velocity in 30cm diameter pipe is 2m/s, find the discharge and average velocity in 20cm diameter pipe.

A 40cm diameter pipe, conveying water, branches into two pipes of diameters 30cm and 20cm respectively. If the discharge in the 40cm diameter pipe is 0.38m3/s, compute the average velocity in this pipe. If the average velocity in 30cm diameter pipe is 2m/s, find the discharge and average velocity in 20cm diameter pipe.

Pipe Flow Analysis: Branching System Problem Statement A 40cm diameter water pipe branches into two pipes (30cm and 20cm diameter).

A 40cm diameter pipe, conveying water, branches into two pipes of diameters 30cm and 20cm respectively. If the discharge in the 40cm diameter pipe is 0.38m3/s, compute the average velocity in this pipe. If the average velocity in 30cm diameter pipe is 2m/s, find the discharge and average velocity in 20cm diameter pipe. Read More »

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