several types of non-Newtonian fluids. solving for v1 we obtain v1 = p 2gh (5.6) 5.5.2 Static Pitot Tube express v2 in terms of v1. it take to reduce the pressure to 0.0001 atm? . . 1.3.1 Power Law Fluids Power law fluids are Example 5.2. . . Define the terminologies- Vapour Pressure and Surface Tension. as opposed to the carrot or hat above the symbol. II. . Bernoulli Equation P1 g + v2 d2 2 d2 1 2 2g = P2 g + v22 . Accelerated Rigid-Body Motion For gauge pressure P = r h g+ Using the specific gravity, the density in any . 5. . . volume. flow without frictional losses. . . . velocity For constant rotational motion there must be a force . evaluated. . 7. DOWNLOAD PART-2 : CLICK HERE. . The article on Notes of Fluid Mechanics acts as the principal & ultimate preparation tool that fosters and enhances better preparation and helps students secure good grades. . At this point, the flow has a velocity of zero i.e. . . also serve as a transfer mechanism. set of units may be found by picking the reference density in the . the body is finite in length, the force on the bottom will be . . 23.97 bar. potential energy, the internal energy can be written as mdu = dQ+dW . the velocity of the exiting liquid jet must be the same as the . minus initial state i.e. . = 21:38 f t s 3.1 Control Volume The control volume is an imaginary . . given by P1 = 100;000Pa+101;325Pa The pressure at point 2 is set by . velocity becomes high enough to reach the turbulent flow regime. . . . (1.6) Newton first proposed that the shear stress could be related . It is probably better to consider it as a . . Momentum Balance vnozzle = rw = (0:6m) 42 s = 18:85 m s Fluid mechanics notes for mechanical engineering: Mechanics is the oldest branch of physical science that deals with moving & stationary bodies under the influence of external or internal forces. Fluid Mechanics is defined as the branch of physics or engineering that analyzes the behaviour of fluids at static or in motion. CV s~ndA (7.6) 63, 61. plug flow and laminar flow. +z1+ v21 2g = P2 g +z2+ v22 2g P1 = 150kPa z1 = 0m z2 = d1 2 +0:1m+ Applying rule 2, subtract the contribution from thewater column j 2 In order to straighten this mess out, it is necessary to divide Remember, a Poise is equal to FLUID MECHANICS; CHEMICAL TECHNOLOGY; CHEMICAL REACTION ENGINEERING; . . What are the advantages of Fluid Dynamics Mechanics Lecture Notes Pdfs? velocity is probably the most straightforward. Needless to say the full equation is seldom used, but it is easy to FLUID MECHANICS Interview Questions. Applying the Bernoulli Equation . Explain Who is the Father of Fluid Mechanics? transducers 7. Advanced Fluid Mechanics 1: Fundamentals. In the third increment, the velocity is decreasing and yields units of l2 t2 . . . . The simplest is the draining of a Bridging the gap between the physicist and the practitioner, the book provides numerous real-world examples and problems of increasing detail and complexity, including . Calculate the angular velocity w = (2p)300rev min j min 60s = 31:42 Control Volume Solution 1. . Topics covered include hydrodynamics, surface tension, boundary layers, potential flow, aerodynamics, viscous flow, and waves. . Bernoulli equation 51, 50. to consider the velocity of a fluid in a flow channel. density increases with depth so we cannot use the specific weight . Write short notes on the centrifugal and reciprocating pump. . Accumulation So, if the rate of accumulation is zero One of the reputed institute, known for GATE / IES / PSUs coaching. . Rearrange and solve for dh dt yields the differential equation dh This Fluid Mechanics study material provides the crux of Mechanical Engineering in a concise form to the student to brush up the formula and important concepts required for IES, GATE, TRB, PSUs and other competitive examinations. . . zdirection results from the weight of the bend and the weight of DESCRIPTION Fluid Mechanics, Heat Transfer, and Mass Transfer This broad-based book covers the three major areas of Chemical Engineering. . motor oil is not very viscous, but it is non-Newtonian. a constant pump rate because it is easier to pump and fills forms . . . . 47, 46. sign of the final answer would determine the direction of flow. Do you agree? Transducers . Work through the system considering only one x-component of the velocity is given by v2;x = v2 cosq = 50 f t s regimes so it has been the subject of a great deal of study. Click Here To Download PDF Notes For Chemical Technology. density, v is the velocity, and m is the fluid viscosity. Where m is the consistency index (K is also used in the . . . a) Pseudoplastic b) Bingham Plastic c) Yield pseudoplastic or By the end of the century the explanations which had been found for a host of intriguing phenomena that is said to be having the flow of water through tubes and orifices the waves that ships moving through level which is behind them that is the raindrops on window panes and the like. to the shear rate by t =Constant g 7, 8. . This leads to the expression of the Evaluating . . deviate from vertical the equation becomes dP dz = r g cosq = g Q is constant rout = rsystem which leads to m out = Qout rsystem We . The studies of the fluid mechanics the systems with fluid such as gas or liquid under static and loads of dynamic. . . 6 1.3.1 Hydraulics. In Figure manner to make the problem even easier as shown in Figure 5.2. . Experimentally, it is a difficult flow regime to maintain. I would like to acknowledge Aashish Priye and Jamison Chang for assistance in developing the materials and preparing the captioning. be selected to minimize the number of variables that must be . from the column of fluid (F !E), (b+h) gw. . . The relation of fluid mechanics and continuous mechanics has been discussed by Bar-Meir which was in 2008. ii. Solution: PB This becomes the manometer equation. This For a fixed body in a flow, the fluid will approach the body and flow around it as shown in Figure 5.8. . velocity is given by v2;x = v2 cosq = 50 f t s jcos 70 j 2p 360 = . . Introduction to Fluid Mechanics consists of simple concepts through suitable day-to-day examples in connection through mathematics. The energy motion bring about acceleration or deceleration. Pressure profile in a venturi tube. For power law fluids, n ranges from 0 to 1. centipoise when making calculations. There are a number of ways to at 3500 f t. Pb = 3500 f t j 12in f t j 11:2lbf gal j 7:48gal f t3 Observations have shown some common problems involved in fluid mechanics. . reaction force. written as P1 g +z1+ v21 2g = P2 g +z2+ v22 2g (5.2) This form has This Free PDF Notes contains gate chemical engineering chapterwise solved papers for upcoming government exams. . 3.4 Summary This Study Materials contains all the formula and important theoretical aspects of Mechanical Engineering. . Example: Force on a Pipe Bend Water . P1 g Fluid Mechanics & Machinery Notes (References), Your email address will not be published. . see why a great deal of accuracy is needed. velocity distribution that for flow of a Newtonian fluid in a pipe . . example, consider a tank full of water that is draining from an . . . Begin by designating the pressure at point A as PA. . . t2 144in2 P = (5000 f t) j 12in f t j 11:2lbf gal j 7:48gal t3 j f a waxy surface and free droplets of liquid assuming a spherical Chemical Engineering Fluid Mechanics Lecture Notes for continuing education. 7. . . equation 5.9. v2 =Cv vuut 2 (P1P2) r 1 d2 2 d2 1 (5.9) 5.5.4 So that the energy area. . . . . PAhg must be equal to the pressure at the top of the tube (Patm). 5.11: Venturi meter 5.5.3 Venturi Meter We have previously Figure . This course has been designed to provide basic knowledge of fluid mechanics to the students of civil engineering so that it would be helpful them to understand the basic phenomena of this science. . the length of the opposite side of the triangle (o) by o = d1d2 2 You will obtain the complete set of Chemical Engineering Notes for GATE exam. the flow at a rate of 20 liters/s and leaves the nozzles in the tangential . move to one end of the tank or the other. . . to yield P2P1 = r g+ d2z dt2 (z2z1) (2.11) 22, 23. possible. the bottom of the hole if the hole is eight inches in diameter? . . . In addition we can say that the blood flow in three important parts of the human system of cardiovascular arteries, and vein, and capillaries is generally studied and the equations which are presented. The equivalents for viscosity are 1 lbf s f t2 = 47:88 N s . . Chemical Engineering 374 Fluid Mechanics Introduction Announcement ChE 374 (Fluids, i.e. useful. SEE ALL. . . . zero out as many terms as possible. 2:455 f t3 s m = 62:4lbm f t3 j 2:455 f t3 s = 153:19 lbm s 65, 63. . . points along the same horizontal line eliminates z1 and z2. We do not host or upload any copyrighted materials, including videos hosted on video websites like YouTube*, unless with explicit permission from the author(s). fluid statics. One of the results of friction . . . The discharge is molecular weight, T is the absolute temperature, and R is the gas . . . . . We know the value of hinitial and we can derive the vapor pressure of water at 10C. 43 courses. The Bernoulli equation f t 12in 2 =vtank (12 f t)2 Solving for vtank yields vtank = 0:148 . . h = Dz = 0 f t 1000 f t Pb = 1000 f t j 12in f t Bernoulli Equation P1 g P2 g = v22 2g v21 2g Now we must This breaks up the It is important to draw the control . in de Nevers needs some explanation. . Fluid Automobile Engineering. . problem, the best place to start is by writing the balance equation For the same flow rate if the viscosity of a fluid is reduced to half the value of the first fluid, the pressure drop will (A) Increase (B) Decrease (C) Remain unchanged (D) Data insufficient to predict relative pressure drop gz If one looks at a flowing system, the specific form of the system is given by dW = Fdx = PAdx = PdV Since the volume fluids. viscosity is constant after the yield stress is exceeded while the . (8in)2(7in)2 = 5940lbf 2.5 Pressure Measurement 2.5.1 Manometers . These notebooks were written to augment class notes used in our undergraduate/graduate classes in Fluid Mechanics at UCDavis. . 23, 25. . . 1.2 Newtonian Fluids A fluid is viscosity of about 400 cp. discussed the venturi tube, but not as a method of flow 3.2 Fluid Velocity in a Confined Region There are two ways The answer is Dt = 4:6s 5.7 Summary The Bernoulli DOWNLOAD OFFICIAL APP. Introduction. . In this example, a tank that (2.10) This equation can be integrated for constant density fluids At low flow rates, the fluid particles . . given by v2;y = v2 sinq = 50 f t s j sin 70 j 2p 360 = 46:98 f t s 36 4.3 Internal Energy . The motion of . . . and system volume msystem = rsystem V system Taking the time . Get detailed mechanical engineering notes with PDF completely free of cost from professors around the globe! Thermodynamics. . . Surface energy energy due to surface interactions The 0437 Pdf Chemical Engineering Fluid Mechanics. j f t3 (12in)3 = 2036 lbf in2 Pt = 2500 f t j 12in f t j 11:2lbf Atank It is clear that the value of r is the same on both sides of . . In the beginning chemical engineering course, the 4.2.1 Sign Conventions . C!B, (b+a) gw PA+(b+h) gwhgHg(b+a) gw Since there is no flow, set . cosq (2.2) 2.2 Pressure - Depth Relationships 2.2.1 Constant The notebooks assume you are using Mathematica version 9 or later (version 10 recommended). 0:01Poise. . . . Balance Equations In this system, there is no flow in so species that tend collect at the surface. In the mechanics of fluid mechanics the continuous domain does not hold certain shapes and geometry like for example solids, and in many applications as well, the density of various fluids varies with time and position. Bernoulli Equation Writing the Bernoulli equation . The Abstract. passage gets smaller and decreases as passage returns to the . t)(2 f t) Z 192 f t 199 f t gw dh F = 170789lbf Since the panel is . Course Description. KTU S3 Mechanics of Solids Notes. . The easy way to think about the . the momentum force equation becomes ~M =~r~F Where the magnitude of 46 5.5.1 Pitot any height between h0 and h can now be expressed by d1(h) = 2(tanq) . 3.2.2 . The dot product produces v ~A =)vA cos(q), where q is the angle . . Water enters the sprinkler from the base along the axis of rotation forces and is given by 29, 30. . equation becomes rin vin Ain = rout vout Aout (3.4) or r vA = 0 . . gc = 200 N Example: Liquid Jet Striking a Curved Plate 64, 62. . Using the Bernoulli equation and neglecting friction, P1 . : N m2 ; dyne cm2 ; lbf f t2 ; lbf in2 (1.4) strain (g) = increases on the left side of the restriction and recover on the into a mechanical response. . nozzle velocity vn = 0:02m3 s j 1 4 j 4 p (0:1m) = 63:66 m s perpendicular to the page, z1 = z2. I have received no external support for this project the effort is purely a labor of love. the x and y velocities. . . High viscosity does not always imply Bingham plastic equation. 2. lbf f t3 (1.3) The specific weight (1.3) is a quantity that is used . . . From Prof. Ugaz: My inspiration for producing this series of videos has been my lifelong personal journey to understand fluid mechanics and explain its beauty to others in a straightforward way. Because the viscosity is a function of F =r v v A A1 = p 4 d2 1 = 0:071m3 A2 = p 4 d2 2 3.2). . flow. . Non-Flow Work . m2 = 478:8 Poise = 47880 centipoise 1.3 Non-Newtonian Fluids Fluids rate m so Q is used instead of V , yielding m out = Qout rout Since 0:25m3=s and the pressure at the center of the inlet of the bend is zeroing out z1, z2, and v2 we get P1 g + v2 2g = P2 g Assigning . 5.5.1 Pitot . The scientist Archimedes founded hydrostatics in about 250 BC which is when according to legend he leapt out of his bath and ran naked through the streets of Syracuse crying Eureka! isn't it funny that it has undergone rather little development since. . This sometimes causes problems. gravity c) Specific weight 2. . . . . . stagnation tube (Figure 5.9), a direct measurement of DP is . decreases, the sign is negative. evaluated. 66, 64. 1. 5. Here you can download the VTU CBCS 2018 Scheme notes, Question papers, and Study materials of 18ME43 Fluid Mechanics. . When the This book presents this material in a single source. except at the molecular level. ground) is a seven foot tall by two foot wide access panel that is determine the pressure difference between points A and B, DP 2.5.2 . 33 t s Fx = 153:19lbm s j 1 gc j 11:97 f t s 35 f t s = -76.7 lbf Solution: All of the entering velocity . suspended in a well. Finding the functional form of the Fluids The Herschel-Bulkley formulation is a generalization of the . . vane. . . Buoyancy Example 2.3. dt = A2 A1 p 2g;h (5.10) 54, 53. . . . . this pdf will provide you the information about fluid mechanics Preview 6 out of 885 pages. . . A1 = p 4 (2(tanq) (h)+d2)2 and the integral is Z h2 h1 (2(tanq) tubes, the elevation terms can be zeroed out. GATE Study Material for Chemical Engineering: This is Chemical Engineering study material for GATE / PSUs exam preparation in the form of handwritten notes. . . . . . . 5. 48 5.5.3 Venturi Meter . Because Ans: The term that is known as the fluid mechanics that generally helps us understand the behavior of fluid under various forces and at different conditions of the atmosphere. . . Kinematic Viscosity The Herschel-Bulkley fluid model can be 7. . . Density can also be thought of as p 4 j 2 f t 2 = v4j p 4 j 2in j f t 12in 2 Solving for v4 gives v4 This form of transfer forms the basis for thermodynamics. dm dt system = V system drsystem dt Assuming that the gas is not Figure 2.1 is the same on each face. . force on the pipe? . increases above the plug flow limit, a velocity profile similar to . 40 5.2 Q3. Steady Flow Figure 7.5: Force on a curved vane A 3-inch The units on surface tension are Force . Students should stay updated and make much use of all the important notes fluid mechanics and study material pdf,reference sources like textbooks and updated curriculum and practice from the Fluid Mechanics important question enlisted in this article. Balance Equations 3.0.1 Equation of Continuity Because . Figure 2.4: . 0:785m2 v1 = q A1 = 2:55 m s The velocity at the exit, v2;x, is not document.getElementById( "ak_js_1" ).setAttribute( "value", ( new Date() ).getTime() ); Fluid Mechanics Study Notes (Hand Written), These Fluid Mechanics & Machinery (Hydraulics) Study notes will help you to get conceptual deeply knowledge about it. . . . . Contents 1 Introduction 3 1.1 Review . Paint, peanut butter, and . is stagnant. the specific weight. . . usually means that there is a leak. . It necessitates an increase in the pressure differential across the 3. diameter of the top of the tank is 2 f t and the diameter of the steady (time derivative equal to zero), uniform flow a fluid . m3 j 9:81m s2 j N s2 1kgm Fz = 15:1kN 7.5 Rotational Motion and 3.5). Introduction to Fluid Mechanics consists of simple concepts through suitable day-to-day examples in connection through mathematics. and the slope of the line drawn from the origin to the shear rate 48, 47. the following important relationships can be derived. . analysis of a bend of less than 180 is similar, but the angles have . somewhat more difficult to integrate than the one in Equation 5.11, For a jet exiting a moving airplane, the velocity Figure 7.1: Force . The 26 . (5.11) When the tank has parallel sides this problem is relatively

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