The Reynolds Number, Re, is of great importance in Chemical Engineering. This dimensionless quantity is used to describe fluid flow patterns. If Re is over 2,100 the flow regime is considered turbulent and below 2,100 the flow regime is laminar. Re is defined as the ratio of inertial forces to viscous forces. And is represented mathematically as: ?? = ??? ? , where D is the pipe diameter (length), u is the fluid velocity (length/time), ? is the fluid density (mass/volume), and ? is the fluid viscosity (mass/(length*time)). Calculate the Reynold’s Number, Re, for a flow in a pipe when D = 32 in, u = 1.6 m/min, ? =1.09 g/mL, and ? =1.10008 cP. Is the flow regime laminar or turbulent?
The Reynolds Number, Re, is of great importance in Chemical Engineering. This dimensionless quantity is used...
Recall that the Reynolds number is a dimensionless number that we use to discuss the flow charecteristics of moving fluids. Generally speaking it is the ratio of momentum forces to viscous forces, and it depends on the diameter of the pipe, the density of the fluid, the velocity of the moving fluid, and the viscosity of the moving fluid. It is normally given by Re Where Re - Reynolds number [dimensionless) p- fuid density v- fud velocity D- pipe diameter...
Calculate the Reynolds number, Re- (2rpv)/ n, for the following situations and decide whether the flow of fluid around them is laminar or turbulent. Then calculate the frag force using the appropriate formula. For the radius, use r 2(Area/perimeter) which, for a circle, gives the radius. Densities and viscosities are in the table on page 2. Also, to keep things uniform, we will use the boundaries for laminar and turbulent flow from Engineer's Toolbox, also on pg. 2 [1] A...
Calculate the Reynolds number, Re = (2rρv)/ η , for the following situations and decide whether the flow of fluid around them is laminar or turbulent. Then calculate the frag force using the appropriate formula. For the radius, use r = 2(Area/perimeter) which, for a circle, gives the radius. Densities and viscosities are in the table on page 2. Also, to keep things uniform, we will use the boundaries for laminar and turbulent flow from Engineer's Toolbox, also on pg....
1. Determining fluid flow through pipes and tubes has great relevance in many areas of engineerin gase g and science. In engineering, typical applications include the flow of liquids and s through pipelines and cooling systems. Scientists are interested in topics ranging from flow in blood vessels to nutrient transmission through a plant's vascular system. The resistance to flow in such conduits is parameterized by a dimensionless number called the friction factor. For turbulent flow, the Colebrook Equation provides a...
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Question 1 1.1 If the velocity distribution of a fluid flowing over a 1m² flat plate is given by u=l+ y + y, find the m. Assume dynamic viscosity to be y=6x10*(Ns/m”). force acting on a plate at y = [5 marks] 1.2 A 2D velocity field in an incompressible flow was measured by PIV method and determined to follow the following functions u= 2x’ +2y and v=x - 4y. Check whether your measurements are correct at a...
Q5. Sketching a suitable control volume, show that the velocity profile V(r) for steady, fully laminar flow in a horizontal pipe is given by V(r)- whereis is the pressure drop per unit length of pipe, R is the pipe radius and u the dynamic viscosity of the fluid. (10 marks) Thereafter develop Poiseuille's law for the volume flow rate O in the form SuL (10 marks) Hence show that the head loss h is given by where Vis the mean...
Air at T=25°C and pressure P=1 bar flows over a square plate with a velocity V=1 m/s. This plate has a length L= 1 m and it is heated over its entire length; the plate temperature is constant Tp=100°C. The following data are given. For air: dynamic viscosity: mu = 1.9*10–5 kg/(m.s); density: rho = 1.05 kg/m3; conductivity k = 0.03 W/(m K); Specific heat Cp = 1.007 kJ/(kg K); Prandtl number Pr = 0.7 For laminar flow over a...
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In fluid flow problems, the flow velocity in a long horizontal pipe depends on the pipe material, pipe geometry and fluid properties in addition to the pump power. For a horizontal pipe with a pump, the friction factor can be obtained from many correlations such as Colebrook-White Equation: 2.100 =-2 logo 5.0452 Re log + 5.8506 (Re)-a) (1) 3.7065 2.4257 In which, fis the friction factor and ris the roughness ratio given by: given by: pDV Where is...
(2 pts) Heat is transferred from a hot fluid (temperature T1 and heat transfer coefficient h2) through a plane wall of thickness 8, surface area A and the thermal conductivity k. The thermal resistance for the set up is + (a) AC ) (b) A (i + + ) (c) 2 (na + + n2) (d) A (na + b +h2) (2 pts) An increase in convective heat transfer coefficient over a fin will (a) increase effectiveness (b) decrease effectiveness...
When small aerosol particles or microorganism move through air or water, the Reynolds number is very small (Re << 1). Such flows are called creeping flows. The aerodynamic drag force, Fp, on an object in creeping flow is a function only of its speed V, some characteristic length scale L of the object, and fluid viscosity u (see Fig. 4). Use the method of repeating variables to generate a relationship for Fp as a function of the independent variables. Draw...