Prof T.T Al-Shemmeri Engineering Fluid Mechanics Solution Manual Download free eBooks at bookboon.com Engineering Fluid Mechanics Solution Manual © 2012 Prof T.T Al-Shemmeri & bookboon.com (Ventus Publishing ApS) ISBN 978-87-403-0263-9 Download free eBooks at bookboon.com Engineering Fluid Mechanics Solution Manual Contents Contents Book Description: Author Details: Chapter One Tutorial Problems Chapter Two Tutorial Problems 13 Chapter hree Tutorial Problems 21 Chapter Four Tutorial Problems 28 Chapter Five Tutorial Problems 31 Sample Examination Paper 33 Class Test – Fluid Mechanics 34 Formulae Sheet 44 e Graduate Programme for Engineers and Geoscientists I joined MITAS because I wanted real responsibili Maersk.com/Mitas Real work International Internationa al opportunities ree work wo or placements Month 16 I was a construction supervisor in the North Sea advising and helping foremen he ssolve problems Download free eBooks at bookboon.com Click on the ad to read more Engineering Fluid Mechanics Solution Manual Book Description Book Description: Title – Engineering Fluid Mechanics Solution Manual Author – Prof T.T Al-Shemmeri Fluid Mechanics is an essential subject in the study of the behaviour of luids at rest and when in motion he book is complimentary follow up for the book “Engineering Fluid Mechanics” also published on BOOKBOON, presenting the solutions to tutorial problems, to help students the option to see if they got the correct answers, and if not, where they went wrong, and change it to get the correct answers Author Details: Prof Tarik Al-Shemmeri – BSc, MSc, PhD, CEng Professor of Renewable Energy Technology at Stafordshire University Current research interests in Renewable Energy and Environmental Technology Lecturing topics include: Energy management and Power generation Download free eBooks at bookboon.com Engineering Fluid Mechanics Solution Manual Chapter One Tutorial Problems Chapter One Tutorial Problems 1.1 Show that the kinematic viscosity has the primary dimensions of L2T-1 Solution: he kinematic viscosity is deined as the ratio of the dynamic viscosity by the density of the luid he density has units of mass (kg) divided by volume (m3); whereas the dynamic viscosity has the units of mass (kg) per meter (m) per time (s) Hence: w? 1.2 o ON /3V /3 ? ? N4V /3 /5 t ON In a luid the velocity measured at a distance of 75mm from the boundary is 1.125m/s he luid has absolute viscosity 0.048 Pa s and relative density 0.913 What is the velocity gradient and shear stress at the boundary assuming a linear velocity distribution? Determine its kinematic viscosity [Ans: 15 s-1, 0.72Pa.s; 5.257x10-5 m2/s] Solution: Download free eBooks at bookboon.com Engineering Fluid Mechanics Solution Manual Itcfkgpv ? v ?o w? 1.3 Chapter One Tutorial Problems fX 30347 ? ? 37 u /3 f{ 20297 fX ? 2026: z37 ? 20942 Rc0u f{ o 2026: ? ? 70479 z32 /7 o u ;35 t A dead-weight tester is used to calibrate a pressure transducer by the use of known weights placed on a piston hence pressurizing the hydraulic oil contained If the diameter of the piston is 10 mm, determine the required weight to create a pressure of bars [Ans: 1.6 kg] Solution: (a) P = F/A C? r F4 ? Hence the weight r z 20232 ? 90:76 z32 /7 o =PxA/g = x 105 x7.854x10-5 / 9.81 = 1.60 kg Download free eBooks at bookboon.com Engineering Fluid Mechanics Solution Manual 1.4 Chapter One Tutorial Problems How deep can a diver descend in ocean water without damaging his watch, which will withstand an absolute pressure of 5.5 bar? Take the density of ocean water, r = 1025 kg/m3 [Ans: 44.75 m] Solution: Use the static equation: r"?"t"i"j" Hence the depth can be calculated as: *707 / 3+ z32 R ? ? 66097o Ycvgt j? t 0i 3247 z;0:3 1.5 he U-tube manometer shown below, prove that the diference in pressure is given by:   d 2  P1 − P2 = r g z 1 +      D   Download free eBooks at bookboon.com Engineering Fluid Mechanics Solution Manual Chapter One Tutorial Problems Solution: he relationship between liquid columns and the area of cross section is based on the conservation of matter, ie continuity equation, hence: volume = volume |3 zC3 ? |4 zC4 jgpeg › |3 ? | z*r 6+ zf f ? |4 z* + 4 *r 6+ zF F For the “U” tube manometer that the height diferent in the two columns gives the pressure diference, therefore: H 3? H R3 - t0i0|3 ? R4 - t0i0|4 hence R3 / R4 ? t0i0* |4 / |3 + ? t0i0|4 z ]3 - *f F +4 _ Clearly if D is very much larger than d then (d/D)2 is very small so R3 / R4 ? t0i0|4 1.6 A lat circular plate, 1.25 m diameter is immersed in sewage water (density 1200 kg/m3) such that its greatest and least depths are 1.50 m and 0.60 m respectively Determine the force exerted on one face by the water pressure, [Ans: 15180 N] 307o" Download free eBooks at bookboon.com 208o" c" Engineering Fluid Mechanics Solution Manual Chapter One Tutorial Problems Solution: Area of laminar C"""" ?" r *3047+4"?"3044:"o4" Depth to centroid je"" ?" *2082"-"3072+"?"3027"o" Resultant Force F = r g A hc = 9.81 x 1200 x 1.228 x 1.05 = 15180 N www.job.oticon.dk Download free eBooks at bookboon.com 10 Click on the ad to read more Engineering Fluid Mechanics Solution Manual 4.4 Chapter Four Tutorial Problems An airplane is lying at a relative speed of 200 m/s when the ambient air condition is 1.013 bar, 288 K Determine the temperature, pressure and density at the nose of the airplane Assume for air: g = 1.4, density at ambient condition = 1.2 kg/m3 and Cp =1005 J/kgK Ans: [To=307.9K, Po=1.28 bar, r =1.42 kg/m3] Solution: Vq ? V - X4 422 ? 4:: ? 5290; M zEr z3227 i Rq X i /3 ? ]3 _ R 40Er0V i 306 206 Ç Ç 422 X i /3 ? 235 z Rq ? Rz È3 È Ù ? 304: d ct Ù É 4Er0V Ú É z3227z 4:: Ú tq ? Rq 304: z32 ? ? 3066: mi o TzVq 4:9 z 5290; 3 306 " Rq i Ç 304: ? 3063: mi o "t q ? t z ] _ ? 304 z È Ù R É30235 Ú " Download free eBooks at bookboon.com 30 Click on the ad to read more Engineering Fluid Mechanics Solution Manual Chapter Five Tutorial Problems Chapter Five Tutorial Problems 5.1 A small-scale hydraulic power system has an elevation diference between the reservoir water surface and the pond water surface downstream of the turbine is 10 m he low rate through the turbine is m3/s he turbine/generator eiciency is 83% Determine the power produced if: a) Flow losses are neglected b) Assume friction loss equivalent to m head Ans: (81 kW, 73 kW) Solution: a) "nquugu ? 2o " RC ? t i S J j ? 3222 z ;0:3z3z32 z 20:5 ? :306 mY b) " nquugu ? 3o " "RD ? 3222 z ;0:3z3z *32 / 3+z 20:5 ? 95048 OY 5.2 A hydro-electric power plant based on the Loch Sloy in Scotland has an efective head of 250 metres If the low rate of 16 m3/s can be maintained, determine: a) the total power input to the turbine assuming a hydraulic eiciency of 98%; and b) the pressure diference across the turbine Ans: (38 MW, 2.4 MPa) Solution: he power available from water is P = ρ Q g h x h      = 1000 x 16 x9.81 x 250 x0.98 = 38455.2 kW which is 38 MW Download free eBooks at bookboon.com 31 Engineering Fluid Mechanics Solution Manual Chapter Five Tutorial Problems he power can also be expressed as = P = Q x Δp Hence  Dp =P/Q = 38455200 / 16 = 2.403 MPa  5.3 A proposed hydropower plant to be built using a reservoir with a typical head of 18m and estimated power of 15 MW You are given the task to select an appropriate type of turbine for this site if the generator requires the turbine to run at a ixed speed of 120 rpm Ans: (Ns=396, Francis or Kaplan) Solution Type of Turbine Pu ? P R * j+ Speciic speed range Pu Francis 70–500 Propeller 600–900 Kaplan 350–1000 Cross-low 20–90 Turgo 20–80 Pelton, 1-jet 10–35 Pelton, 2-jet 10–45 ? 342 z 37222 207 ? 5;806 3:3047 hence – Francis or Kaplan Download free eBooks at bookboon.com 32 ? P R * j+ Engineering Fluid Mechanics Solution Manual Sample Examination Paper Solution of Mock Exam Sample Examination Paper Develop the tools we need for Life Science Masters Degree in Bioinformatics Bioinformatics is the exciting field where biology, computer science, and mathematics meet We solve problems from biology and medicine using methods and tools from computer science and mathematics Read more about this and our other international masters degree programmes at www.uu.se/master Download free eBooks at bookboon.com 33 Click on the ad to read more Engineering Fluid Mechanics Solution Manual Sample Examination Paper Class Test – Fluid Mechanics Module Tutor T Al-Shemmeri his Paper contains TEN questions Attempt all questions A formulae sheet is provided Place your Answers in the space provided No detailed solution required Print your name on every page Submit all together for marking MARKINg gRID LEAVE BLANK PLEASE question 10 total 1st Marker 2nd marker Agreed percentage Recommended grade Question One List TWO types of instrument used to measure the pressure of a toxic luid contained in a sealed tank Complete the table below: Type Principle Marks Standard Bourdon gauge Expansion of a helical element when stressed by the action / marks of pressure/force Piezometer – closed A piezometer is a device used to measure static liquid / marks pressure in a system by measuring the height to which a column of the liquid rises against gravity Total (8 marks) Download free eBooks at bookboon.com 34 Engineering Fluid Mechanics Solution Manual Sample Examination Paper Question Two a) Draw (not to scale) the pressure distribution of the water on the dam shown below: (6 marks) " b) Indicate on the sketch, the direction of the resultant force on the dam? (2 marks) c) Approximately, indicate the position of the centre of pressure on both sides (2 marks) Total (10 marks) Download free eBooks at bookboon.com 35 Engineering Fluid Mechanics Solution Manual Sample Examination Paper Question Three List hree methods used to improve the resolution of detecting a small pressure reading in a manometer Complete the table below: Method Principle Marks Incline one limb Trigonometry will mean the sensitivity can be improved / marks by reading the longest side of a triangle Read (Lx Sin(theta)) instead of reading (h) Use diferent size (cross-sectional Help is derived from the continuity law, or displaced area) for either side of the volume on either side to remain the same, A z = constant, manometer so z2 can be much larger if A2 is smaller than A1 Use diferent luids with appreciably This uses the conservation of mass, for the displaced diferent density values column on either side of the manometer / marks / marks Total (9 marks) Download free eBooks at bookboon.com 36 Engineering Fluid Mechanics Solution Manual Sample Examination Paper Question Four 62"mRc" " 407"mi" " """""""207"mi" 5"eo" Complete the table below: Theoretical reading of the pressure / marks P = F / A = (2.5+0.5)x9.81 /(3.14x0.032/4) 41635 % error / marks =[(41.635-40.000)/41.635]x100% 3.93% / marks The maximum load if the gauge limit is 100 kPa F = P x A = 100x103 x(3.14x0.032/4) 70.686 N = 7.2 kg Total (10 marks) Download free eBooks at bookboon.com 37 Engineering Fluid Mechanics Solution Manual Sample Examination Paper Question Five If the fan, below, circulates air at the rate of 0.30 m3/s, determine the velocity in each section Complete the table below Section Dimensions Velocity Area m/s m m 0.25 square 0.25x0.25 = 0.0625 m2 V1 =Q/A Marks / marks = 0.3/0.0625 = 4.8 m/s 0.20 diameter (3.14/4)x0.22 = 0.0314 m2 V2 =Q/A / marks = 0.3/0.0314 = 9.5 m/s Total (10 marks) Download free eBooks at bookboon.com 38 Engineering Fluid Mechanics Solution Manual Sample Examination Paper Question Six Oil of relative density 0.90 lows at the rate of 100 kg/s in a horizontal pipe of 200 mm diameter, km long If the friction factor for the pipe is 0.006, complete the following table: Quantity Value Units Marks low velocity 3.537 m/s / marks = (4x0.006x1000/0.2)x (3.5372/19.62 m / marks kPa / marks kW / marks m = density x A x V hence V = m / ( den x A) frictional head loss h = (4f L/D) x V /2g = 76.5 frictional pressure loss = 900x9.81x76.5 P = den x g x h = 675 energy to overcome friction = 100x9.81x76.5 E = m.g.h = 75 Total (10 marks) welcome to our world of teaching! innovation, flat hierarchies and open-Minded professors Study in Sweden cloSe collaboration with future employerS Mälardalen university collaborates with Many eMployers such as abb, volvo and ericsson taKe the right tracK debajyoti nag sweden, and particularly Mdh, has a very iMpressive reputation in the field of eMbedded systeMs research, and the course design is very close to the industry requireMents give your career a headStart at mälardalen univerSity he’ll tell you all about it and answer your questions at mduStudent.com www.mdh.se Download free eBooks at bookboon.com 39 Click on the ad to read more Engineering Fluid Mechanics Solution Manual Sample Examination Paper Question Seven Show that Bernoulli’s equation is dimensionally homogeneous marks for the p-term, marks for the v-term, and marks for the z-term and for stating that all dimensions have/have not the same dimensions Total (10 marks) Solution: Take each term separately r *c+" ti *d+" X4 4i *e+" ¥ ONV /4 *ON /5 +*NV /4 + *N V + *2+*NV / + *N+ o" N N o" o All terms have the same units of meters he equation is therefore dimensionally balanced Download free eBooks at bookboon.com 40 Engineering Fluid Mechanics Solution Manual Sample Examination Paper Question Eight Oil (relative density 0.85, kinematic viscosity 80cs) lows at the rate of 90 tonne per hour along a 100 mm bore smooth pipe Determine for the low: Quantity Value Marks / marks low velocity 0.00785 m2 A= (pi/4)xD2 m = 90 t/h 25 kg/s = 90 x 1000/3600 3.745 m/s V = m / A/ density Nature of the low / marks New = 80 cs = 80x10-6 m2/s Re =3.745 x 0.1 / 80x10-6 Re = den x V x D/ mu Re = 4682 = V x D / New Hence low turbulent / marks frictional factor f = 0.079 / Re0.25 f = 0.0095 Total (12 marks) Question Nine List two instruments for measuring the low rate of air through a rectangular duct Method Hot wire Anemometer Principle marks use a very ine wire (on the order of several / marks micrometres) electrically heated up to some temperature above the ambient Air lowing past the wire has a cooling efect on the wire Uses the relationship between the electrical resistance of the wire and the low speed Pitot-static tube Relies on the measured static and dynamic pressures / marks to determine the luid velocity using Bernoulli’s equation Total (8 marks) Download free eBooks at bookboon.com 41 Engineering Fluid Mechanics Solution Manual Sample Examination Paper QUESTION TEN Draw the body force diagram for a parachute jumper If the vertical component of the landing velocity of a parachute is m/s, ind the total weight of the parachutist and the parachute (hollow hemisphere Diameter 5m) Assume for air at ambient conditions, Density = 1.2 kg/m3 and Cd = 2.3 For correct body force diagram /2 marks For correct use of formula / marks For correct answer / marks Total (10 marks) Download free eBooks at bookboon.com 42 Click on the ad to read more Engineering Fluid Mechanics Solution Manual Sample Examination Paper Solution he free body diagram shows that the body is afected by forces Newton’s second law of motion states that when the object is moving at steady state then the net force on the object must be zero Hence F g = Fb + Fd Since the parachute is open, the buoyancy force will be negligible and only due to the body of the person, which is small in comparison to the parachute size Fb = PUN < ÂH ? › H y / Hf ? t0X 0Ch zEf ? r Hy ? z304 z 40* +z z 405 ? ;97 P ? ;;06 mi Hy / Download free eBooks at bookboon.com 43 Engineering Fluid Mechanics Solution Manual Sample Examination Paper Formulae Sheet FLUID STATICS: P=rgh CONTINUITY EQUATION: mass low rate m=rAV volume low rate Q=AV Energy Equation (P/r g) + ( V2/ 2g ) + Z = constant DARCY’S EQUATION Hf = (4 f L /D) ( V2/ 2g ) it’s an interesting world Get under the skin of it Graduate opportunities Cheltenham | £24,945 + benefits One of the UK’s intelligence services, GCHQ’s role is two-fold: to gather and analyse intelligence which helps shape Britain’s response to global events, and, to provide technical advice for the protection of Government communication and information systems In doing so, our specialists – in IT, internet, engineering, languages, information assurance, mathematics and intelligence – get well beneath the surface of global affairs If you thought the world was an interesting place, you really ought to explore our world of work www.careersinbritishintelligence.co.uk TOP GOVERNMENT EMPLOYER Applicants must be British citizens GCHQ values diversity and welcomes applicants from all sections of the community We want our workforce to reflect the diversity of our work Download free eBooks at bookboon.com 44 Click on the ad to read more [...]... Download free eBooks at bookboon.com 33 Click on the ad to read more Engineering Fluid Mechanics Solution Manual Sample Examination Paper Class Test – Fluid Mechanics Module Tutor T Al-Shemmeri his Paper contains TEN questions Attempt all questions A formulae sheet is provided Place your Answers in the space provided No detailed solution required Print your name on every page Submit all together for... Francis or Kaplan) Solution Type of Turbine Pu ? P R 3 4 * j+ 6 7 Speciic speed range Pu Francis 70–500 Propeller 600–900 Kaplan 350–1000 Cross-low 20–90 Turgo 20–80 Pelton, 1-jet 10–35 Pelton, 2-jet 10–45 ? 342 z 37222 207 ? 5;806 3:3047 hence – Francis or Kaplan Download free eBooks at bookboon.com 32 ? P R 3 4 * j+ 6 7 Engineering Fluid Mechanics Solution Manual Sample Examination Paper Solution of Mock... bookboon.com 12 Engineering Fluid Mechanics Solution Manual Chapter Two Tutorial Problems 2 Chapter Two Tutorial Problems 2.1 A 20 mm dam pipe forks, one branch being 10 mm in diameter and the other 15 mm in diameter If the velocity in the 10 mm pipe is 0.3 m/s and that in the 15 mm pipe is 0.6 m/s, calculate the rate of low in cm3/s and velocity in m/s in the 20 mm diameter pipe (129.6 cm3/s, 0.413 m/s) Solution: ... 1 u " Download free eBooks at bookboon.com 13 Engineering Fluid Mechanics Solution Manual 2.2 Chapter Two Tutorial Problems Water at 36 m above sea level has a velocity of 18 m/s and a pressure of 350 kN/m2 Determine the potential, kinetic and pressure energy of the water in metres of head Also determine the total head Ans (35.68 m, 16.5 m, 36 m, 88.2 m) Solution: Take each term separately r3 572 z325... to the engine Ans (0.16 kg/s) Solution: (i) p1 - p2 = rm x g x h = 830 x 9.81 x 0.080 = 651 Pa 4* r3 / r4 + 4 z87306 """ ? ? 56025 o 1 u 4 304 z]3 / *;2 1 3:2+ 6 _ t ]3 / * C4 1 C3 + _ (ii) x4 ? (iii) m = Cd V2 A2 x r C4 ? Q r 6 z202;4 ? 8058 z32/5 o4 = 0.62 x 34.03 x 0.00636 x 1.2 = 0.161 kg/s Download free eBooks at bookboon.com 15 Engineering Fluid Mechanics Solution Manual 2.4 Chapter Two Tutorial... the ad to read more Engineering Fluid Mechanics Solution Manual 2.6 Chapter Two Tutorial Problems A jet of water strikes a stationary lat plate “perpendicularly”, if the jet diameter is 7.5 cm and its velocity upon impact is 30 m/s, determine the magnitude and direction of the resultant force on the plate, neglect frictional efect and take water density as 1000 kg.m3 Ans (3970 N) Solution: C? r 6 F4... (0.0371 m3/s, 45.1 kN/m2) Solution: 4 4 r r3 x3 x5 - |3 ? 5 - |5 ti 4i ti 4i 2 - 2 - 508 ? 2 - 4 x5 -2 4i jgpeg › X5 ? 4 z ;0:3z 508 ? :0626 o 1 u " r 4 r 4 5 "S ? CzX ? 6 F zX ? 6 z 20297 z :0626 ? 20259 o 1 u 5 r ;: " 03z32 - 2 ? 4 - 706 " z ;0:3 ti 3222 ^"R4 ? ;:03z32 5 / 706 z ;:32 ? 67348 Rc Download free eBooks at bookboon.com 20 Engineering Fluid Mechanics Solution Manual Chapter Three Tutorial... Determine the minimum weight required to keep the buoy aloat just above the water surface Assume the buoy and the chain has a combined weight of 1.2 kg Ans (33 kg) Solution: Download free eBooks at bookboon.com 22 Engineering Fluid Mechanics Solution Manual Chapter Three Tutorial Problems Since the system is stable and motionless, Newton’s second law of motion reduces to: Weight = Upthrust (Buoyancy) Fb =... propel the crat Ans (0.13, 0.021, 2040 kW) Solution: HN 87 z32 5 EN ? ? *3 1 4+t0C0X 4 *3 1 4+z 20;8 z 4907 zX 4 E F ? 2024 - 20283zE N 4 Ç 87z32 5 ? 2024 - 20283z È 4 Ù É *3 1 4+z 20;8 z 4907 zX Ú 4 hence HF ? 3 3 t0X 4 0Ch zE F ? z 20;8 zX 4 z 4907z*2024 - 3609; z32 7 zX / 6 + 4 4 Download free eBooks at bookboon.com 23 Engineering Fluid Mechanics Solution Manual Chapter Three Tutorial Problems Power... International MBA or MSc in Management Download free eBooks at bookboon.com 24 register now rode www.Nyen ge.com n le MasterChal Engineering Fluid Mechanics Solution Manual Chapter Three Tutorial Problems Assume for air at ambient conditions, take Density = 1.2 kg/m3 Ans (18 N, 0.7 kW) Solution: EN ? HN 3z32 5 ? ? 302639 *3 1 4+t0C0X 4 *3 1 4+z304 z3z 62 4 4 EF ? 2023 - 2022:zEN ? 2023 - 2022:z302639 4 ? 2023:8: ... to read more Engineering Fluid Mechanics Solution Manual Book Description Book Description: Title – Engineering Fluid Mechanics Solution Manual Author – Prof T.T Al-Shemmeri Fluid Mechanics is...Prof T.T Al-Shemmeri Engineering Fluid Mechanics Solution Manual Download free eBooks at bookboon.com Engineering Fluid Mechanics Solution Manual © 2012 Prof T.T Al-Shemmeri &... eBooks at bookboon.com 33 Click on the ad to read more Engineering Fluid Mechanics Solution Manual Sample Examination Paper Class Test – Fluid Mechanics Module Tutor T Al-Shemmeri his Paper contains