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In The Name Of Allah Who Is Most Merciful And Beneficient

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Page 1: 12-ME-65 Farrukh Zaheer  12-ME-62 Saqib Ali  12-ME-81 M.Umer Nissar  12-ME-80 Waqar Ahmed  12-ME-64 Ashfaq Younis

In The Name Of Allah Who Is Most Merciful And

Beneficient

Page 2: 12-ME-65 Farrukh Zaheer  12-ME-62 Saqib Ali  12-ME-81 M.Umer Nissar  12-ME-80 Waqar Ahmed  12-ME-64 Ashfaq Younis

12-ME-65 Farrukh Zaheer

12-ME-62 Saqib Ali

12-ME-81 M.Umer Nissar

12-ME-80 Waqar Ahmed

12-ME-64 Ashfaq Younis

Group Members

Page 3: 12-ME-65 Farrukh Zaheer  12-ME-62 Saqib Ali  12-ME-81 M.Umer Nissar  12-ME-80 Waqar Ahmed  12-ME-64 Ashfaq Younis

If the fluid is moving with high velocity, then it is called jet.

Usually nozzels are used to increase the kinetic energy of the fluid.

What is jet?

Page 4: 12-ME-65 Farrukh Zaheer  12-ME-62 Saqib Ali  12-ME-81 M.Umer Nissar  12-ME-80 Waqar Ahmed  12-ME-64 Ashfaq Younis

Impact OF Jet On Curved Surfaces

Topic Of Presentation

Page 5: 12-ME-65 Farrukh Zaheer  12-ME-62 Saqib Ali  12-ME-81 M.Umer Nissar  12-ME-80 Waqar Ahmed  12-ME-64 Ashfaq Younis

Whenever a jet of liquid impinges

on a surface, it experiences some

force as it is known as impact of

jet.

This force is equal to the rate of

change of momentum of the jet.

(Newton second law of motion)

What Is Impact

Jet?

Page 6: 12-ME-65 Farrukh Zaheer  12-ME-62 Saqib Ali  12-ME-81 M.Umer Nissar  12-ME-80 Waqar Ahmed  12-ME-64 Ashfaq Younis

Whenever a curved surfaced vane is placed in front of a liquid jet it exerts force on it during entering and leaving the vane this force is equal to the change of momentum of the jet according to Newton second law of motion.

Purpose of this presentation is to find out that force.

Impact Of Jet On Curved Surface

Page 7: 12-ME-65 Farrukh Zaheer  12-ME-62 Saqib Ali  12-ME-81 M.Umer Nissar  12-ME-80 Waqar Ahmed  12-ME-64 Ashfaq Younis

1: Force Impinging on fixed curve vane.

2: Force impinging on a moving curved vane.

There are two cases in which we have to find the acting force.

Page 8: 12-ME-65 Farrukh Zaheer  12-ME-62 Saqib Ali  12-ME-81 M.Umer Nissar  12-ME-80 Waqar Ahmed  12-ME-64 Ashfaq Younis

IMPACT OF JET ON A FIXED VANE

Page 9: 12-ME-65 Farrukh Zaheer  12-ME-62 Saqib Ali  12-ME-81 M.Umer Nissar  12-ME-80 Waqar Ahmed  12-ME-64 Ashfaq Younis
Page 10: 12-ME-65 Farrukh Zaheer  12-ME-62 Saqib Ali  12-ME-81 M.Umer Nissar  12-ME-80 Waqar Ahmed  12-ME-64 Ashfaq Younis

Consider a fixed curved vane.

Force of jet impinging on a moving curved surface.

Page 11: 12-ME-65 Farrukh Zaheer  12-ME-62 Saqib Ali  12-ME-81 M.Umer Nissar  12-ME-80 Waqar Ahmed  12-ME-64 Ashfaq Younis

V = Velocity of the jet (AC), while entering the vane

V1 = Velocity of the jet (EG), while leaving the vane

v1, v2 = Velocity of the vane (AB, FG)

α= Angle with the direction of motion of the vane, at which the jet enters the vane.

In the above fig:

Page 12: 12-ME-65 Farrukh Zaheer  12-ME-62 Saqib Ali  12-ME-81 M.Umer Nissar  12-ME-80 Waqar Ahmed  12-ME-64 Ashfaq Younis

Vr = Relative velocity of the jet and the vane (BC) at entrance (it is the vertical difference between V and v).

β= Angle with the direction of motion of the vane, at which the jet leaves the vane.

Vr1 = Relative velocity of the jet and the vane (EF) at exit (it is the vertical difference between v1 and v2.

Demonstration of fig:

Page 13: 12-ME-65 Farrukh Zaheer  12-ME-62 Saqib Ali  12-ME-81 M.Umer Nissar  12-ME-80 Waqar Ahmed  12-ME-64 Ashfaq Younis

Vr1 = Relative velocity of the jet and the vane (EF) at exit (it is the vertical difference between v1 and v2.

θ= Angle, which Vr makes with the direction of motion of the vane at inlet (known as vane angle at inlet),

φ= Angle, which Vr1 makes with the direction of motion of the vane at outlet (known as vane angle at outlet).

Vw = Horizontal component of V (AD, equal to ). It is a component parallel to the direction of motion of the vane (known as velocity of whirl at inlet).

Demonstration of fig:

Page 14: 12-ME-65 Farrukh Zaheer  12-ME-62 Saqib Ali  12-ME-81 M.Umer Nissar  12-ME-80 Waqar Ahmed  12-ME-64 Ashfaq Younis

Vw = Horizontal component of V (AD, equal to ). It is a component parallel to the direction of motion of the vane (known as velocity of whirl at inlet).

Vw1 = Horizontal component of V1 (HG, equal to ). It is a component parallel to the direction of motion of the vane (known as velocity of whirl at outlet).

a = Cross sectional area of the jet.

Demonstration of fig:

Page 15: 12-ME-65 Farrukh Zaheer  12-ME-62 Saqib Ali  12-ME-81 M.Umer Nissar  12-ME-80 Waqar Ahmed  12-ME-64 Ashfaq Younis

Vf = Vertical component of V (DC, equal to ). It is a component at right angles to the direction of motion of the vane (known as velocity of flow at inlet).

Vf1 = Vertical component of V1 (EH, equal to ). It is a component at right angles to the direction of motion of the vane (known as velocity of flow at outlet).

Demonstration of fig:

Page 16: 12-ME-65 Farrukh Zaheer  12-ME-62 Saqib Ali  12-ME-81 M.Umer Nissar  12-ME-80 Waqar Ahmed  12-ME-64 Ashfaq Younis

The relations between the inlet and outlet triangles (untill and unless given) are:(i)V=v1 , and(ii) Vr=Vr1

We know that the force of jet, in the direction

of motion of the vane.

Observation from fig: