Volume flow rale

Derive expressions for the velocity profile, shear stress, shear rate and volume flow rale during the isothermal flow of a power law fluid in a rectangular section slit of width W, depth H and length L. During tests on such a section the following data was obtained. 

The v olume of a fluid flowing through a pipe or duct per unit lime is called the volume flow rale V, and is expressed as... 

A hair dryer is basically a duct in which a few layers of electric resistors are placed. A small fan pull.s the air in and forces it lo flow over the resistors where it is healed. Air enters a 1200-W hair dryer at 100 kPa and 22 C, and leaves at 47 C. TIte cross-sectional area of the hair dryer at the exit is 60 cm. Neglecting the power consumed by the fan and the heat losses through the walls of the hair dryer, determine (n) the volume flow rale of air at Ihe inlet and (b) the velocity of the air at Ihe exit. Answers (a) 0.0404 mVs, (b) 7.30 m/s... 

The ineversible pressure loss due to frictional effects and the required pumping power to overcome this loss for a volume flow rale of 1/are... 

The velocity profile in fully developed I uminar flow in a circular pipe of inner radius / - 10 cm, in m/s, is given by it(r) = 4(1 - r //( ). Determine the mean and maximum velocities in the pipe, and the volume flow rale. 

An 8-m long, uninsulated square duel of cross section 0.2 m X 0.2 m and relative roughness 10 passes through the attic space of a house. Hot air emers the duct at 1 atm and 80°C at a volume flow rale of 0.15 mVs. The duct surface is nearly isothermal at 60°C. Determine the rate of heat loss from the duct to the attic space and the pressure difference between the inlet and outlet sections of the duct. 

Mass Flow Rate Dry Basis kg ] Volume flow Rale CniM)... 

Vp, Vl overflow, fine or lightweight particle suspension volume flow rates Vu, Vq, Vj underflow, coarse or heavy particle suspension volume flow rales... 

Fig. 1.30. (A) The resolution window diagram for the gradieni-elulion separalion of a mixture of eight phenyluiea herbicides on a Separon SGX. 1.5 tm. silica gel column (150 x 3.3 mm i.d.) in dependence on the initial concentration of 2-propanol in n-hcpiane at ihe slart of the gradicni. A. with optimum gradient volume Vc, - 10 ml. Column plate number N = 5000. compounds as in Fig. 1.23. (B. C) The separation of the eight phenylurea herbicides with optimised gradient-elution conditions (maximum resolution in (A)) with gradients from 12 to 38.6 2 2-propanol in n-hcptanc in 7 min (B) and from 25 to 37.5 2 2-propanol in fi-heptane in 5 min (C). Flow rale I ml/min.

Column Eluent Flow Rale Inj. Volume Detection ... 

We now a.sk what is the reactor volume necessary to reduce the entering molar flow rale of A from F/jn to F i- Rearranging uation (1-12) in the form... 

Here we will develop our stoichiometric table for reactions with phase change. When one of the products condenses during the course of a reaction, calculation of tlic change in volume or volumetric flow rale must he undertaken in a slightly dilVerein manner. Plots of the molar flviw rates of condensate D and the total. together with the reciprocal rale, are shown here as a funciion of conversion. 

The above discussion of downcomer sizing has denlt with flow rales to minimize downward entrainment. From another point of view, the downcomer must have enough volume to allow collapse of any stable... 

Peclet number, dimensionless heat ratio [Eq. (S.3-19)] volumetric flow rale of liquid, mVs heat flow, )/ flow to reboikr flow flrom condenser flow to or feom sb n volume of froth, nP volumetric flow rate at vapor, mVs gas constam reflux ratio... 

Fig. 8.7 Schematic drawings of flow rate changes caused by the inert gas addition. The reactant flow rate increases during tj j and decreases for tij, (From [22]). Of is the reactant flow rale, o is the inert gas flow rate, o is the consumed gas rate due to the applied currents, Of a is the flow rale increase due to the inert gas addition, Of,b is the flow rate decrease by the intr ruption of inert gas addition, V is the volume between inert gas inlet port and electrode, Vg is the volume of gas channel. is the time to fill Vc, t,- is the time of the gas filled in the volume Vf to flow over the electrode...

For a batch reactor, we saw that conversion increases with lime spent in the reactor. For continuous-flow systems, this time usually increases with increasing reactor volume, e.g., the bigger/longer the reactor, the more time it will take the reactants to flow completely through the reactor and thus, the more time to react. Consequently, the conversion Jf is a function of reactor volume V. If f o is the molar flow rale of species A fed to a system operated at steady state, the molar rate at which species A is reacting within the entire system will be... 

Noting that mass flow rate is equal to tl e product of density, average velocity, and cross-sectional area normal to flow, the rale at which fluid enters the control volume from the left surface is pn dy 1). The rate at which the fluid leaves the control volume from the right surface can be expressed as... 

A fluid, which is not flowing, contains small particles in Brownian motion. Gradients exist in the concentration of particles, all of which are of the same size. Concentrations are small, however,, so that any small flow.s that accompany diffusion can be neglected. A balance can be can ied out on the number of particles in an eiementnl volume of fluid fixed in space (Fig, 2.1). as follows The rale at which particles enter the elemental volume across the face ABCO is... 

Flow rate is usually quoted ns "space velocity", i c the ratio of volumetric rale of gas at STP to volume of catalyst typicni values are in the range S000-6000U h. ... 

You are feeding 2500 Ib/h (43.04 lb mol/h) of propylene oxide (P,0.) to the reactor. The feed stream consists of (1) an equivolumetric mixture of propylene oxide (46.62 ft Vh) and methanol (46.62 ftVh), and (2) water containing 0.1 wt % H,SOj. The volumetric flowrate of water is 233.1 fi /h. which is 2.5 limes the melhanol-P.O. flow rate. The corresponding molar feed rales of methanol and w-aier arc 71.87 and 802.8 lb mol/h. respectively, Tlie water-propylene oxide-methanol mixture undergoes a slight decrease in volume upon mixing... 

The origin of coordinates is at the corner of the sphere and the concentration at the spherical surface of radius r is c at lime r. At the same insiaru, the concentration at the spherical surface of radius r + dr is cK + dcA. A control volume is defined between the two surfaces at r and r + dr. The rale of flow of sol me into the control volume is... 

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