According to Newton's law of viscosity, the shear stress on a layer of a fluid is directly proportional to the rate of shear strain. Ideal fluid is a fluid with zero viscosity. Real fluids possess viscosity.
The following important points may be noted for viscous flow:
(a) A fluid which has no viscosity is known as an ideal fluid.
(b) A fluid which has a viscosity is known as a real fluid.
(c) A fluid whose viscosity does not change with the rate of deformation or shear strain is known as Newtonian fluid.
(d) A fluid whose viscosity changes with the rate of deformation or shear strain is known as Non-Newtonian fluid.
(e) A fluid in which the viscosity of fluid is dominating over the inertia forces, is called laminar flow. It takes place at very low velocities.
(f) A flow in which the inertia force is dominating over the viscosity, is called turbulent flow. It takes place at high velocities.
(g) The velocity at which the flow changes from the laminar flow to the turbulent flow, is called critical velocity. It is of two types, i.e., lower critical velocity and higher critical velocity. The velocity at which the laminar flow stops, is known as lower critical velocity, while the velocity at which the turbulent flow starts, is known as higher Critical velocity.
(h) The ratio of the inertia force to the viscous force is called Reynold's Number. The flow in a pipe is laminar when Reynold's number is less than 2000 and flow is turbulent when Reynold's number is more than 2800. But when Reynold's number is between 2000 and 2800, the flow is neither laminar nor turbulent.
(i) The velocity corresponding to Reynold's number of 2000, is called lower critical velocity and the velocity corresponding to Reynold's number of 2800, is called higher critical velocity.
(j) The loss of head due to viscosity for laminar flow in pipe is
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)
(k) The loss of head due to friction in a pipe of uniform diameter in which a viscous flow is taking place is 16/Rn, where Rn is Reynold's number.
The following important points may be noted for viscous flow:
(a) A fluid which has no viscosity is known as an ideal fluid.
(b) A fluid which has a viscosity is known as a real fluid.
(c) A fluid whose viscosity does not change with the rate of deformation or shear strain is known as Newtonian fluid.
(d) A fluid whose viscosity changes with the rate of deformation or shear strain is known as Non-Newtonian fluid.
(e) A fluid in which the viscosity of fluid is dominating over the inertia forces, is called laminar flow. It takes place at very low velocities.
(f) A flow in which the inertia force is dominating over the viscosity, is called turbulent flow. It takes place at high velocities.
(g) The velocity at which the flow changes from the laminar flow to the turbulent flow, is called critical velocity. It is of two types, i.e., lower critical velocity and higher critical velocity. The velocity at which the laminar flow stops, is known as lower critical velocity, while the velocity at which the turbulent flow starts, is known as higher Critical velocity.
(h) The ratio of the inertia force to the viscous force is called Reynold's Number. The flow in a pipe is laminar when Reynold's number is less than 2000 and flow is turbulent when Reynold's number is more than 2800. But when Reynold's number is between 2000 and 2800, the flow is neither laminar nor turbulent.
(i) The velocity corresponding to Reynold's number of 2000, is called lower critical velocity and the velocity corresponding to Reynold's number of 2800, is called higher critical velocity.
(j) The loss of head due to viscosity for laminar flow in pipe is
(k) The loss of head due to friction in a pipe of uniform diameter in which a viscous flow is taking place is 16/Rn, where Rn is Reynold's number.
Great synopsis :)
ReplyDeletevery nice data
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