Consider the two-dimensional flow of an inviscid, incompressible fluid described by the superposition of a parallel flow of velocity V0, a source of strength q, and a sink of strength −q, separated by a distance b in the direction of the parallel flow, the source being upstream of the sink. (a) Find the resultant stream function and velocity potential. (b) Sketch the streamline pattern. (c) Find the location of the upstream stagnation point relative to the source.

Q: The pressure drop ΔP = P1 − P2 through a long section of round pipe can be written in terms of the…

A: Part a.

Q: Q4. Water flows along the rectangular channel such that after it falls to the lower elevation, the…

A: h=0.3 m Channel width = 1.5 m  To find- 2) Volumetric discharge of the channel.

Q: For pressure-driven laminar flow between two horizontal infinite parallel plates separated by a…

A:

Q: A flow is irrotational if skew(Vv(x, t)) = 0, i.e. if the velocity gradient is a symmetric tensor.…

A: Given skew: ∇vx,t=0

Q: 1. For a constant mass flow rate, and a constant friction factor, show that the pressure drop in a…

A: Pressure Drop:   The total energy loss in a pipe system is the sum of the major and minor losses.…

Q: With reference to a standard Cartesian (x, y) plane, the parabolic velocity distribution profile of…

A: Given: Parabolic velocity profile distribution To find: Maximum velocity Average velocity  Note :…

Q: Q4) An incompressible, viscous fluid is placed between horizontal, infinite, parallel plates as is…

A:

Q: The x component of velocity in a two-dimensional incompressible flow is given by u = 1.5 x. At the…

A:

Q: A two-dimensional flow pattern is as shown in figure. Water is flowing out an opening with a…

A:

Q: With reference to a standard Cartesian (x, y) plane, the parabolic velocity distribution profile of…

A:

Q: Water flows through a horizontal, pipe bend as is illustrated in the figure below. The flow cross…

A:

Q: Consider a two-dimensional flow which varies in time and is defined by the velocity field, u = 1 and…

A: If the density not change with respect to time then flow is called incompressible fluid

Q: A public school holds its flag ceremonies every Monday from 7:00 AM to 7:15 AM. During the singing…

A: q= 1800 vphv= 30 kphk= 80 veh/km and v= 0 kphk= 40 veh/km and q =1000 vphTo find:Characteristic of…

Q: Section 4.3 and 4.4 Control Volume and System Representations and the Reynolds Transport Theorem…

A: Given, V=20 m/s t=0.2 s To determine, flow rate in the duct.

Highway Drainage

Highway drainage is the process of extracting and regulating the excess surface water on the pavement by giving the desired slope. The construction of a highway drain helps to divert the water present on the surface, and sub-grade by the means of slope. Highway drainage systems are a necessary part of smooth functioning of traffic, since the highway drainage systems provide proper disposal of unwanted substances from the highways.