A flow field consists of two free vortices which are rotating in clockwise direction with the strengths, K of 20 m²/s and 15 m²/s located at points A(3, 3) and B(-4,-4) respectively.

Q: An ocean liner is sailing north at a rate of 13 miles per hour. The ocean current is flowing N-10°-W…

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Q: Determine the complex potential of two line vortices of the same strength k , one located at the…

A: complex potential for a single line vortex located at the origin: W= ikln(z)Strength= kLocated at…

Q: A two-dimensional flow field is given by u = 5x 2 − 5y 2v = −10xy (i) Find the streamfunction ψ and…

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Q: The stream function of a flow field is ų = Ax3 – Bxy², where A = 1 m-1s1 and B = 3 m1s1. (a) Derive…

A: The velocity along the x axis can be determined as shown below.

Q: . Determine the displacement gradient tensor, right Cauchy-Green deformation tensor, small…

A: Given: u=AX12X3BX1X2X3CX2+CX32 To find: Displacement gradient tensor Right Cauchy-Green deformation…

Q: R=2h h

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Q: In deriving the vorticity equation, we have used the identity V × (VP) = 0. Show that this identity…

A: The objective of the question is to verify the vector identity V cross (VP) = 0 for any scalar…

Q: two dimensional velocity field is given =2nx2-yi+(3nxy+x2)j (where n=3439) Is this field steady?…

A: Given Data⇒ V=2nx2-yi+3nxy+x2j n=3439 So V=6878x2-yi+10317xy+x2j

Q: Consider the steady potential flow around the circular cylinder shown in the figure below. At what…

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Q: Question 4. The stream function is given as w=x³-y³. a. Is this flow possible? b. Is the flow…

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Q: The stream function for a given two-dimensional flow field is = 5x²y - 5y³. Determine the velocity…

A: First check whether flow is irrotational or not.because velocity potential function is only defined…

Q: Find the stagnation point in the following two-dimensional velocity field: V=(3+x-y)i + (5+x+y)j

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Q: If the velocity field is given by V = axi – ayj, and a is a con- stant, find the circulation around…

A: Given: Velocity field (V→)=(axi^-ayj^)

Q: Sources of equal strength m are placed at the four symmetricpositions (x, y) = (a, a), (-a, a), (-a,…

A: Source have equal strength are placed at symmetric position (x,y)=a,a, -a,a, -a,-a, and a,-a. The…

Fluid Kinematics

The branch of science that deals with objects which are either in motion or stationary are studied under the branch of classical mechanics. Fluid mechanics is a subcategory of classical mechanics that deals with the behavior of fluids at rest (fluid statics) or in motion (posing some velocity). In fluid kinematics, studies focus on the associated motion of fluid particles or groups of particles, and its associated parameters like displacements, velocity, and acceleration without concerning about the forces that caused the motion. All the laws of classical mechanics are applied in the study of fluid kinematics.