GATE ME
Fluid Mechanics
Laminar Flow
Previous Years Questions

Consider a laminar flow at zero over a flat plate . The shear stress at the wall is denoted by $${\tau _w}.$$ The axial positions $${x_1}$$ and $${x_2... For steady flow of a viscous incompressible fluid through a circular pipe of constant diameter, the average velocity in the fully developed region is ... Three parallel pipes connected at the two ends have flow-rates$$\,\,\,{Q_1},\,\,\,{Q_2},\,\,\,\,$$and$${Q_3}$$respectively, and the corresponding ... Couette flow is characterized by Consider fully developed flow in a circular pipe with negligible entrance length effects. Assuming the mass flow rate, density and friction factor to ... Maximum velocity of a one-dimensional incompressible fully developed viscous flow, between two fixed parallel plates, is$$6\,\,m{s^{ - 1}}.$$Then me... The velocity profile of a fully developed laminar flow in a straight circular pipe, as shown in the figure, is given by the expression.$$$u\left( r ... In fully developed laminar flow in the circular pipe, the head loss due to friction is directly proportional to ....... (Mean velocity/square of the m... For a fully developed laminar flow through a pipe, the ratio of the maximum velocity to the average velocity is ___________ (fill in the blank) ## Marks 2 Consider steady flow of an incompressible fluid through two long and straight pipes of diameters $${d_1}$$ and $${d_2}$$ arranged in series. Both pipe... Consider a fully developed steady laminar flow of an incompressible fluid with viscosity $$\mu$$ through a circular pipe of radius $$R.$$ Given that ... For a fully developed laminar flow of water (dynamic viscosity $$0.001$$ $$Pa$$-s) through a pipe of radius $$5$$ $$cm,$$ the axial pressure gradient ... The head loss for a laminar incompressible flow through a horizontal circular pipe is $${h_1}$$. Pipe length and fluid remaining the same, if the aver... Water flows through a $$10$$ $$mm$$ diameter and $$250$$ $$m$$ long smooth pipe at an average velocity of $$0.1$$ $$m/s.$$ The density and the viscosi... Consider laminar flow of water over a flat plate of length $$1$$ $$m.$$ If the boundary layer thickness at a distance of $$0.25$$ $$m$$ from the leadi... A fluid of dynamic viscosity $$2 \times {10^{ - 5}}\,\,kg/m.s$$ and density $$1kg/{m^3}$$ flows with an average velocity of $$1$$ $$m/s$$ through a lo... Water flows through a pipe having an inner radius of $$10$$ $$mm$$ at the rate of $$36$$ $$kg/hr$$ at $${25^ \circ }C$$. The viscosity of water at $${... For a fully developed flow of water in a pipe having diameter$$10cm,$$velocity$$0.1m/s$$and kinematic viscosity$${10^{ - 5}}\,\,{m^2}/s... The velocity profile in fully developed laminar flow in a pipe of diameter $$D$$ is given by $$u = {u_0}\left( {1 - 4{r^2}/{D^2}} \right),$$ where $$r... For laminar flow through a long pipe, the pressure drop per unit length increases. The discharge in$${m^3}/s$$for laminar flow through a pipe of diameter$$0.04m$$having a centre line velocity of$$1.5m/s$$is: ## Marks 5 A$$0.20m$$diameter pipe$$20km$$long transport oil at a flow rate of$$0.01{m^3}/s.$\$ Calculate the power required to maintain the flow i...
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