Question 11 A cylindrical sediment core sample with the dimensions: diameter = 10[cm] and length = 30[cm] is placed in a Darcy experimental setup (see figure below) and fully re-saturated. At steady s information was recorded: hydraulic heads hi = 14.1[cm] and ha = 10.5[cm], flow Q = 7.0[ml/min]. cross-sectional area, A sand Datum, =0 Please calculate the following and provide answers with three significant figures: a) Hydraulic conductivity (K) in the unit m/day.
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- As pictured below, you have a box, of unknown mass m, and push it against a spring, k = 100 N/m, compressing it by some distance x. The box, when it leaves the spring, slides over a rough patch of floor, a distance D=20 cm, before sliding up a smooth hill (angled 30 degrees with respect to the horizontal), and coming to rest a height L above the floor. L [cm] 600 500 You repeat this experiment several times, plotting the height is rises, L, as a function of how far you compress the spring x (you find you need to use x² to get a linear plot in StatKey): 400 300 200 100 0 x=0 200 772 400 %=0 600 x² [cm³] y=0 800 1000 1200 Summary Statistics Switch Variables Statistic x^2 [cm^2] L [cm] Mean 500.000 253.060 228.913 Standard Deviation 442.000 Sample Size Correlation Slope Intercept Scatterplot Controls Show Regression Line 7 0.997 0.516 -5.07 What is the coefficient of kinetic friction between the floor and the box in the "rough patch" (length D)? Note: The answer should be entered as a…4:17 .l 86% google.com Water flows from point A to points D and E as shown. Some of the flow parameters are known, as shown in the table below. Determine the unknown parameters. Q1 V1 Q2 V2 D2 Qa V3 D3 D D: Q4 V4 A в D4 E Section Diameter [mm] | Flow rate [m³/s] Velocity [m/s] |AB BC 350 222 ??? 2?? Q3=2Q4 |Q«=0.5Q. 750 1.5 ??? 150 1.7 ??? CD СЕ C Chegg Visit Solved: Water Flows From Point A To Points D And E As Show ... Images may be subject to copyright. Learn more Related images O V tees f p A p Dd p E e ies ef pie de Gm t eeesnde pe the e be ple the er de e N d k hee may etheme4 Water fows fhem peint Ato pos Dand E as shon Sone of the flow parancters are knon, ashown in the able below Drenine he ukow paranem Sertan Dia r Phee rate Veleci jas LAB BC elect ja w y 150 ate K lo H- | Solved: Q3) Water Flows From Poi. chegg.com Solved: Quiz 2 Water Flows From P... TOTAL chegg.com Water flows theoagh a 150 m diameter horintal pipe at the steady ma flow rate of 60kg/s A meticn i fitted…Hab. Tiruneh, [4/2/2023 1:23 AM]A solar flux q ^ * falls on a unit length of a very thin tube of diameter d. Inside the tube is a stationary water with initial temperature T_{i} (same as ambient and no gradient inside at any time) and absorbs some of the heat while the rest leaves by convection from the surface to the ambient at T_{m} Develop an equation that can help to determine the temperature of the water at any time. Plot the temperature of the water against time. For a long elapsed time what will be the temperature? To simplify the analysis use theta = T*T_{e} * d*theta = dT theta_{i} = T_{i}*T_{o} (initial condition. Hab. Tiruneh, [4/2/2023 11:53 AM]A flat wall is exposed to an environmental temperature of 38°C. The wall is covered with a layer of insulation 2.5 cm thick whose thermal conductivity is 1.4W / (m ^2 *` C and the temperature of the wall on the inside of the insulation is 315°C. The wall loses heat to the environment by convection. Compute the value of the convection…
- Analyze the free-body diagram, given the coefficients of static and kinetic friction. Determine whether the block will slide and the net force on the system. static kinetic Hs = 0.25 friction is not shown, but must be incuded in calculations Hk = 0.2 fs,max = 50 %3D fr = W2 [N] slide? friction [N] friction direction | Fnel [N] 40 yes, down-righ 40 up-left v 22 W.-102 W2 W = 200N 50 up-left v (see table) 80 no W = 225N 50 down-righ no 120 18 40 down-righ 160 yes, up-left v 58 40 down-righ v yes, up-left annot be de 200 check answersFor the tutorial question, assume the inputs are: A = 0.75 [m] ; B = 1.03 [m] ; C = 0.685 [m] ; U = 33.5 [km/hr]; ANSWER: 1A) In the gradient equation of the keel L(z) = A + B · z; A = 1B) and B = 2) If Re_CR = ρ · U · L_CR; then L_cr [m] = 3A) To determine D_S, one needs first to calculate C_f_l(z). In the equation C_f_l(z) = D / l(z)^(-0.2) + E / l(z); D = 3B) and E =PROPAGATION OF ERROR You are tasked to supervise the design of 0.5MW wind turbine to be constructed in a Wind Farm in Pililla, Rizal. Suppose the design criteria are as follows: The air density as surveyed after 2 year period averaged at 1.225 kg / cubic meter. The sweeping diameter of the rotor blades is 125m, and the anemometer reading in the area amounts to 4.2m/s on a 2 year period of survey. What is the theoretical power output of the turbine assuming 100% efficiency of operation? Your answer must be in kW and in two decimal places with correct signs. In the previous problem, if the diameter measurement is off by 0.1m and the anemometer reading is also fluctuating by 0.05m/s and if the error measurement for theoretical power output must be limited to 3%, WHY OR WHY NOT should you accept the design? * Show complete solution in paper.
- Fit a power law model to the rheological behavior presented in the data: T [=]D/cm^2 y[=]1/2 1 3 2 - 3 30 4 52 5 80 6 100 7 130 8 160 9 175 10 190 11 218 12 240 13 265 (The second data in the table is not necessary to solve it.)Help yourself with matlab to solve it with the following formula: (Photo)Question 4.4 A core was mounted in a gas permeameter to measure permeability, and the following laboratory data are obtained from the experiment: Diameter of the core = 2.59 cm - Length of the core = 6.03 cm - Gas viscosity = 0.0148 cP q [cm/s] Р, [КРa] P, [kPa] 13.09 65.4 13.5 7.91 44.6 11.2 4.12 25.3 6.4 3.23 19.4 4.1 Determine the gas permeability and equivalent liquid permeability of the core using the above data (in Darcy units).Prob4 Flowing Liquid: Water; Pipe length: L=600 m; Diameter: D=0.15 m; Q = 0.06 m³/s; hf = 50 m [head losses] Find, f=? [friction coefficient], and roughnes=? [mm] Ref¹/2_D32 (20¹4) 12 Resistance coefficient, j 0.100 0.090 0.080 0.070 0.060 0.050 0.040 0.030 0.025 0.020 0.015 0.010 0.009 0.008 10³ Re 2 10³ 2 J 4 6 810² 468104 2 8104 2 4 6 8105 2 4 6 8105 Fully rough turbulent flow Smooth pipes 4 68105 2 46810 Re=VD 2 468 468107 ▬▬▬ WITH IN 0.05 0.04 0.03 0.02 0.015 0.01 0.00810 0.006 0.004 0.002 0.001 0.0008 0.0006 0.0004 0.0002 0.0001 0.00005 0.00001 6 8108 Relative roughness, 7
- Quiz 4 Fluid Mechanics MECH 2340 Time: 20 min [Maximum Marks 10] 1. The balloon in Fig. 1 is filled through point 1. The area at point 1 is A1, the velocity V1, and the flow density is p1. The mean density within the balloon is pb(t). Generate an expression for the rate of change in the system mass within the balloon at this instant. Pipe R(t) Average density:p,(1) CS expands outward with balloon radius R(1) Fig. 1 O FocusThe conduction heat transfer in an extended surface, known as a fin, yields the following equation for the temperature T, if the temperature distribution is assumed to be one-dimensional in x, where x is the distance from the base of the fin, as shown in figure: To Fin >X T(x) h,T Heat Loss d²T_hp (T-T) = 0 dx² ΚΑ dT dx = 0 Here, p is the perimeter of the fin, being 2R for a cylindrical fin of radius R; A is the cross-sectional area, being R2 for a cylindrical fin; k is the At x = 0: T = T₁ dT At x=L: :0 dx thermal conductivity of the material; T is the ambient fluid temperature; and h in the convective heat transfer coefficient. The boundary conditions are as follows: where L is the length of the fin. Solve this equation to obtain 7(x) by using Euler's method for R=1cm, h= 20 W/m².K, k = 15 W/m-K, L = 25 cm, T₁ = 80°C, and T = 20°C.Use dimentional analysis to evaluate that in a problem involving shallow water waves (figure 6), both the Froude number and the Reynold's number are relevant dimensionless parameters. The wave speed, c of waves on the surface of a liquid is a function of depth h, gravitational acceleration g, fluid density, p and fluid viscosity μ. Manipulate your II's to get the parameters into the following form: Fr = c/(gh)1/2= f(Re) , where Re = pch/μ