How do we determine the total discharge through parallel pipes?

How do we determine the total discharge through parallel pipes?

Explanation: Total discharge in parallel pipes are determined by adding the discharges so developed in individual pipes. If Q1 is the discharge through pipe 1 and Q2 is the discharge through pipe 2. Then the total discharge through parallel pipes is equal to Q1+Q2.

How is Darcy Weisbach equation calculated?

The Darcy Weisbach equation is used to determine the pressure drop across a pipe for a fluid. Mathematically, ΔP = (f * L * V2 * ρ) / (2 * D) where P is pressure, f is friction factor, L is pipe length, V is flow velocity, D is pipe diameter, and ρ is fluid density.

How is Darcy friction factor calculated?

The shear velocity V* is defined as: V * = τ o / ρ . In equation (7.1), the Darcy friction factor is a function of the Reynolds number VDH/v and relative roughness ks/DH, where ks is the equivalent roughness height and DH is the hydraulic diameter1 (Appendix A, Section 7.6). where θ is the bed slope.

Why are pipes connected in parallel?

Pipes are said to be in parallel when they are so connected that the flow from a pipe branches or divides into two or more separate pipes and then reunite into a single pipe. In this arrangement the loss of head from section 1-1 to section 2-2 is equal to the loss of head in any one of the branch pipes.

When pipes are connected in parallel?

When two or more pipes are connected, as shown in Fig. 36.3, so that the flow divides and subsequently comes together again, the pipes are said to be in parallel.

What is the correct formula for loss at the exit of a pipe Mcq?

5v2 / 2g and ho = v2 / 2g, where hi is the head loss at pipe entrance, ho is the head loss at pipe exit and v is the flow velocity. Thus hi = 0.5ho.

Can Darcy-Weisbach?

In fluid dynamics, the Darcy–Weisbach equation is an empirical equation, which relates the head loss, or pressure loss, due to friction along a given length of pipe to the average velocity of the fluid flow for an incompressible fluid.

What is the friction factor in a pipe?

1. Definition of friction factor. The friction factor is representing the loss of pressure of a fluid in a pipe due to the interactions in between the fluid and the pipe.

What is pipe roughness and friction factor?

The friction factor f at a given Reynolds number, in the turbulent region, depends on the relative roughness, defined as the ratio of average roughness to the diameter of the pipe, rather than the absolute roughness. The position and extent of all these zones depend on the relative roughness of the pipe.

What will happen when the pipes are connected in series and in parallel?

In this arrangement the loss of head from section 1-1 to section 2-2 is equal to the loss of head in any one of the branch pipes. Similarly when a number of pipes be connected in parallel, then also, the total loss of head in the system is equal to the loss of head in any one of the pipes.

What is the Darcy Weisbach coefficient for laminar flow?

For laminar flow, the Darcy-Weisbach coefficient (or friction factor f ) is only a function of the Reynolds number (Re) and is independent of the surface roughness of the pipe, i.e.: For turbulent flow, f is a function of both the Reynolds number and the pipe roughness height, .

How is head loss related to flow rate?

Practical Application In engineering applications, it is important to increase pipe productivity, i.e. maximizing the flow rate capacity and minimizing head loss per unit length. According to the Darcy-Weisbach equation, for a given flow rate, the head loss decreases with the inverse fifth power of the pipe diameter.

How is the head loss of a pipe calculated?

Valves and fittings on a pipe also contribute to the overall head loss that occurs, however these must be calculated separately to the pipe wall friction loss, using a method of modeling pipe fitting losses with k factors. Darcy Weisbach Formula.

Is the Darcy-Weisbach equation the same as lambda?

I think Wikipedia explains it. Lambda is also called the Darcy friction factor, and equals 4 times the Fanning friction factor, f. The two equations are equivalent, with the first written in the “pressure loss” form, and the second in the “head loss” form.