[pic] Department of Chemical & Biomolecular Engineering THE NATIONAL UNIVERSITY Of SINGAPORE Chemical Engineering Process Laboratory I SEMESTER 4 Experiment F2 Flow Measurement in Closed Conduit and Centrifugal Pump Characteristics Name : Ang Sok Gek Chai Chang Er Cherry Chen Mingli Matriculation No. : U046941L U046938W U046882J Group : Th1 Date of Experiment : 16th March 2006 Table of Contents Page Summary 2 Part I: Flow Measurement in Closed Conduit A. Introduction 3 B. Objectives 3 C. Theoretical Background 4 D. Experimental Procedures 9 E. Results and Calculations 12 F. Discussion 50 G. Error Analysis 58 H. Conclusion 61 Part II: Centrifugal Pump …show more content…
Thus it is more convenient to use the average velocities. Defining a dimensionless kinetic energy coefficient: ∫A (v2 /2) ρvdA = α∫A (vave2 /2) ρvdA introducing the parabolic profile for laminar flow in a pipe results in α = 2, for turbulent flow, we have α ≈ 1.0 and for uniform flow, α = 1. Hence Equation (1) becomes, -Q = ( α 1v12 – α2v22 )/2 + (gy1 - gy2) + (P1 - P2)/ρ + (u1 - u2) The change in internal energy (from mechanical energy to thermal energy due to friction) hLT = (- u1 + u2) – Q where hLT is the total frictional head loss. So the final equation which is known as the Bernoulli equation is: hLT = ( α 1v12 – α2v22 )/2 + (gy1 - gy2) + (P1 - P2)/ρ In theory, the type of head losses in a flow in closed conduit can be classified into 2 main categories, namely the major losses, which is the frictional head loss and minor losses, which is caused by the presence of valves, elbows, bend etc. The head losses resulting from such fittings are function of the geometry of the fitting, the Reynolds number, and the roughness. As the losses in fittings, to a first approximation, have been found to be independent of the Reynolds number, the head loss may be evaluated as hL = [pic] = [pic] ------ (2) where [pic] is the head loss K is the loss coefficient depending upon the fittings ∆P is the pressure drop Since the objective of the experiment is to find the loss coefficient of the various measuring devices, our report would
Fe 3+ (aq) + 2 NO3- (aq) + 3 Na+ (aq) + PO4 3- (aq) FePO4 (s) + 3 Na+ (aq) + 2 NO3- (aq)
σ_(R_X )=√(((∂R_X)/(∂V_1 ))^2 〖σ_(V_1 )〗^2+((∂R_X)/(∂V_2 ))^2 〖σ_(V_2 )〗^2+((∂R_X)/(∂I_D ))^2 〖σ_(I_D )〗^2+ ((∂R_X)/(∂R_S ))^2 〖σ_(R_S )〗^2 )
Another assumption we used was amid the calculation of the current pipeline amongst D and E. It was demonstrated that there was a prerequisite to convey an extra stream, and accordingly a new pipeline (looped) was required. A diameter was to be assumed for the new parallel pipeline. After two unsuccessful attempts with diameters of 0.3 m and 0.35 m, our third diameter of 0.38 m, successfully carried the additional flow rate of
where A2 is the cross-sectional area of the throat, C is the coefficient of discharge (dimensionless), gc is the dimensional constant, Q is the volumetric rate of discharge measured at upstream pressure and temperature, w is the weight rate of discharge, p1 and p2 are the pressures at upstream and downstream static pressure taps, respectively, Y is a dimensionless expansion factor, β is the ratio of the throat diameter to pipe
This lab demonstrated the head loss in pipe systems due to friction. It was performed by pumping water into the pipe systems, measuring flow rate and taking pressure differences. Last, a final calculation of the results of the head loss and all friction coefficients from the three different equations. Given that our friction coefficients matched closely with the values from the reference table means that our data was fairly accurate. The relative errors for the minor loss are a bit high, but this could be due to mathematical errors.
Literature values for the overall heat transfer coefficients are provided in the Appendix, for both oil-water and steam-oil heat exchangers. The overall heat transfer coefficients calculated for the shell-and-tube heat exchanger will be compared to the literature value to determine the accuracy experimentally calculated coefficients. Additionally, the overall heat transfer coefficient for the double pipe exchangers will be provided by the literature data, and this will allow for equation 8 to be solved for the area of the double pipe heat exchanger. The area of heat transfer in Equation 8 varies depending upon the type of heat exchanger being used.
So the formula showed before also could present in another formula, the relationship showed below:
ln wit = α0 + α1πit + α2 ln nit + α3ait + λ t w + µ i w+ u it w (Equation 1)
b1 = h2 (1 R)/( 1 t ) and b2 = h2 (1 +(n 1)R)/(1+(n 1)t)
Pipe bends are used in power plants, oil refineries, petroleum pipelines, chemical industries, pharmaceuticals and food industry. The main purpose of bend pipe is to change the direction of substance in the piping system and it is considered as one of the critical components in the piping systems due to its flexibility. The piping system carry substances from one point to another point. The carrying of substance in pipe system will be done by applying pressure, temperature etc. If the piping system in an industry fails, company have to stop the running process and it’s directly loss to company. The company have to do maintenance of piping system and cost is increased. Therefore, the piping system have the importance in the industry. The safety of the
2 g l2 − l2 = 21 2 . 2 4π T1 l1 − T2 l2
Table will made to compare the temperature differences of each pipe and discuss which design modification produces the
The boundary conditions that are imposed to the computational domain are: for the top, front wall and back wall, a “symmetry” boundary condition; for the bottom (ground) a “no-slip wall” was selected; for the outlet, a “pressure outlet”, and for the inlet a “velocity inlet” were assigned. For the inlet boundary, the mean wind velocity profile is introduced to the software by developing a User Defined Function (UDF) according to the log-law wind profile (Holmes 2015). The parameters used for inlet wind flow is represented in Table 3. The fluctuation of wind velocity at each time step is then generated by utilizing the vortex method by adding a fluctuating vorticity field to the specified mean velocity
ln(Yit) = α + β1 ln(UEit)+ β2 ln(RDit) + β3 ln(TMit) + 훌1 ln(PTit) + 훌2 ln(SPit) + 훌3 ln(SJPit) + ɳi +ԑit (1)
Head loss in a pipe flow is mainly due to friction in pipes and again friction is due to the roughness of pipes. It has been proved that friction is dependent not only upon the size and shape of the projection of roughness, but also upon their distribution of spacing.