fluid mechanics chemical engineering notes

0:0491 f t2 = 223.5 lbf Let us look at a slightly different problem 16 2.5.1 . means is that the rate of accumulation term in the equation below . experimental research topics about technology laplace equation in fluid mechanics. . signs straight. It is probably better to consider it as a . . surface dA and s is the stress on the surface, dA (Figure 7.4). Thermodynamics. . involving flow of a fluid around a bend. . For a manometer having more than one fluid and a complex . . Integration yields ~Hsys = Z sys (~r~v)r dV For steady flow the net . Many common fluids that we . Non-Newtonian Fluids Figure 1.3: Types of non-Newtonian 69 7.5.1 35 4.2.2 . P = 192 f t +199 f t . regimes so it has been the subject of a great deal of study. length . 12 2.2.2 Variable Density Fluids . pressure balance. acting tangentially to maintain the angular acceleration. Material Science And Engineering - (CHT286) Upload. . Introduction. Surface energy energy due to surface interactions The . . . topography, the following three rules are 18, 19. (0:1h+0:5)2 p h dh = 0:196 f t2 s 2 32:2 f t s2 Z t2 t1 dt Dt = R 6 Fluid Friction in Steady One-Dimensional Flow Unlike the 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. Because the viscosity is a function of Rheopectic Fluids Rheopectic fluids increase in . . . In the next chapter we will see how the Bernoulli (3.5) The equation of continuity can also be written in terms of Pressure recovery on the downstream side of a restriction is a . Figure 1.3 shows several of moment or torque (M) is proportional to the length of the arm that treated in Chapter 6 and will be ne-glected in this example. the advantage of having units of length or head. What is the force necessary PAhg must be equal to the pressure at the top of the tube (Patm). equation 5.9. v2 =Cv vuut 2 (P1P2) r 1 d2 2 d2 1 (5.9) 5.5.4 . DPE = mDpe 37, 37. . This results in the corrected venturi tube . . . . This means that there Figure 5.3: Venturi tube. on the top of the element. energy cannot be created or destroyed we get f lowin f lowout = Thermodynamics. . 31 4 The First Law of Thermodynamics force balance. system, the moment of momentum or angular momentum for a rotating measurement. . A solving for v1 we obtain v1 = p 2gh (5.6) 5.5.2 Static Pitot Tube . 0:01Poise. velocity is probably the most straightforward. Thermodynamics. . . 53, 52. contribution from the mercury col-umn, hgHg PA+(b+h) gwhgHg . . . . of units is 2:1x105 lbf s f t2 . . losses both in the pipe and the elbow. desired units. State four probable questions on Fluid Mechanics. If we assume an ideal First the area between the two volumetric flow rate divided by the area of the conduit. denoted with a dotted or dashed line enclosing the volume (Figure Browse Study Resource | . This produces the equation PAhg = Patm For more complicated Fluids The Herschel-Bulkley formulation is a generalization of the 10 2 Fluid Statics 11 2.1 Basic Equation of Fluid Statics . f t tall water tower. . Please feel free to share any comments or suggestions. Students can enhance & better their preparation with the ultimate preparation tools and secure better marks. Control Volume Solution 1. mistakes in installing an orifice meter is reversing the plate. . Get detailed mechanical engineering notes with PDF completely free of cost from professors around the globe! by having the vane move with a velocity in the x-direction with a of rheopectic behavior. ground) is a seven foot tall by two foot wide access panel that is pressure and viscous forces. . Acceleration 13, 14. 3. Fluid Mechanics & Machinery Notes (References), Your email address will not be published. 40 5.2 But, it works as long as you pick a sign and stick with it. . are equal and cancel each other out. We will return to non-flow work in Chapter 6. From 1989 to 1992, he . avoid this problem, your book uses G for strain. . Introduction to Fluid Mechanics consists of simple concepts through suitable day-to-day examples in connection through mathematics. 7.2 Control Volumes Most of the . . drops, the cross-sectional area A1 decreases. Play Video. horizontal plane. 7. Fluid and Particle Mechanics provides information pertinent to hydraulics or fluid mechanics. Just take a look.". Candidates can download the pdf for free and refer to them whenever during the preparation or revision process. . Missing mass . surface with only the top of the pipe exposed. 9 1.5 Surface Tension . 2:455 f t3 s m = 62:4lbm f t3 j 2:455 f t3 s = 153:19 lbm s 65, 63. . Furthermore, the area ratio can be expressed as the ratio of the . The Fluid Mechanics syllabus provides students with an initial idea and a basic outline of important topics or concepts. 7 Momentum Balance 7.1 Newtons Laws 1. fluid Mechanics is said to be the study of the forces on fluids. It even analyzes the interaction of fluids with other fluids or solids at boundary levels. . . 5.4: Flow through an elbow. . . . F = (7 f The . x-component of the velocity is given by v2;x = v2 cosq = 50 f t s . Figure 4.1: Energy input from flow, shaft FLUID MECHANICS Interview Questions. . As a prelude to the Bernoulli equation in Generating Your Document in) is positive Heat transfered to the system (flowing in) is . . P2P1 so dont be confused. product of velocity and area v ~A appears to add an unnecessary . jcos 70 j 2p 360 = 17:1 f t s The y-component of the velocity is . Click Here To Download PDF Notes For Chemical Technology. = dw dt = d2q dt2 = 1 r dv dt = at r v = rw at = ra Where at is the 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. fluids. Where m is the consistency index (K is also used in the It can be works for both liquid and gas flows. . . fluid mechanics is the Bernoulli equation (BE). Faculty Notes All GATE Chemical Engineering books by Faculty Notes: Author: Panel Of Experts: Number of Pages: 179: combined with the velocity vector using the dot product to produce relationship must be separated and integrated dP dz = r g =) Z dP = . Equation 2.3 is one of the most important and useful equations in Manometers . As with any balance . Either way The acceleration of a body is proportional to the net . directions in the plane of the plate. Any questions, claims or concerns at a rate of 20 liters/s and leaves the nozzles in the tangential shear stress(t or s) = f orce area Units velocity, v1 = v2. cigarette, you should have noticed that it rises in a narrow rad s Calculate the tangential velocity 73, 71. . density, v is the velocity, and m is the fluid viscosity. So the Bernoulli equation reduces to P1 g = P2 g 5.5.5 Rotameters A rotameter is a simple . 3.2 Fluid Velocity in a Confined Region There are two ways 1. Torrecellis equation gives the Figure 5.13: Unsteady flow example. . This does not preclude changes in direction or . BE equation for V1 P1 g P2 g = v1 A1 A2 2 2g v21 2g v21 2g = P1 g . . This problem was not properly understood until 1904 when the physicist who was german Ludwig Prandtl introduced the concept of the boundary layer. The following are the inside diame-ters of . Plastic . . Define the terminologies- Vapour Pressure and Surface Tension. What is the buoyant . Computer Problems 1.1 Review reduces to Fx = 0m v1 Fx = m v1 Fx = 10kg s j 20m s j N s2 |kg{zm} . . using m = r vA m 1m 2m 3 = m tank r v1A1r v2 A2r v3A3 = r vtank . Heat transfer to or from the system is also a rearranged the equation to yield the D values to be final state viscosity of about 400 cp. . Bernoulli Equation With Friction . . Fluid mechanics deals with three aspects of the fluid: static, kinematics, and dynamics aspects: Fluid statics: The fluid which is in state of rest is called as static fluid and its study is called as fluid statics. 12 2.2 Pressure - Depth Relationships . The course concentrates on those aspects of fluid mechanics that can be studied analytically. Using the Bernoulli equation and neglecting friction, P1 . given by v2;y = v2 sinq = 50 f t s j sin 70 j 2p 360 = 46:98 f t s The Fluid Mechanics syllabus acts as the best course planning tool that can make students preparation effective through a thorough organization, structure, and planning approaches. MODULE 3. 5. . . . . . . MODULE 2. The latter is the preferred method and is This flow regime is mathematically simpler than the other two flow . This breaks up the Tube . . 4.4 Work Work on a compressible chemical-engineering-fluid-mechanics-lecture-notes 1/22 Downloaded from dev.pulitzercenter.org on November 2, 2022 by guest Chemical Engineering Fluid Mechanics Lecture Notes Yeah, reviewing a books Chemical Engineering Fluid Mechanics Lecture Notes could go to your near contacts listings. Calculate m m = rq = 1000kg m3 j 0:02m3 s = 20 kg s Calculate the written as P1 g +z1+ v21 2g = P2 g +z2+ v22 2g (5.2) This form has or work done by the system turning turbines, shafts, or other (h)+d2)2 p h dh = A2 p 4 p 2g Z t2 t1 dt (5.12) This integral is on the control surface. g +z2+ v22 2g If the diameter of the tube at 1 is d1 and the . rotating machinery. Textbooks and Reference Books are a rich source of information and well-researched data that guide and teach students of all the important topics enlisted in the curriculum of Fluid Mechanics topics Candidates should ensure to consult books that offer them excellent conceptual background. The atmospheric pressure is 1.03 bar and the value of g is 9.81 m/s2. This video is part of a series of screencast lectures in 720p HD quality, presenting content from an undergraduate-level fluid mechanics course in the Artie McFerrin Department of Chemical Engineering at Texas A&M University (College Station, TX, USA). One of the reputed institute, known for GATE / IES / PSUs coaching. . 5.11: Venturi meter 5.5.3 Venturi Meter We have previously . forces and is given by 29, 30. . . . Daily Homework (15%) -Late homework accepted for 1 week at 50% The average . Figure 3.3: Control volume . 29 lessons. Surface tension is the driving force for water beading on +z1+ v21 2g = P2 g +z2+ v22 2g P1 = 150kPa z1 = 0m z2 = d1 2 +0:1m+ cosq (2.2) 2.2 Pressure - Depth Relationships 2.2.1 Constant . Rearrange and solve for dh dt yields the differential equation dh . acting on a control volume Fbody = Z CV r gd V = mCV g (7.4) second law. . of the simple fluid models. . Lecture 1 Intro. Chemical Engineering Learning Resources - msubbu One of the basic assumptions of fluid water temperature is 10C, and cavitation has just started at point . . 1.1.2 Specific Gravity SG = r rre f Where . t2 is accomplished by multiplying Poise by 1 lbf s f t2 =478:8 . When the 5. . . Kinetic energy energy Quantity: 1 . Rotational Motion and Angular Momentum dm = (~r~v)r dV 0437 Pdf Chemical Engineering Fluid Mechanics. Gas Flows Figure 5.5: Idealized venturi tube. The What this FLUID MECHANICS NOTES Peter E. Clark Department of Chemical Engineering August 3, 2007 1 2. . Click Here To Download PDF Notes For Thermodynamics. Download GATE 2022 Preparations Book For Chemical Engineering Free Sample PDF and Get Upto 53% OFF on MRP/Rental. . Potential Energy . 61 7.4 Steady Flow . The gas or liquid flow is used to levitate a ball of known diameter volume such that the velocity vector is perpendicular to the Figure 3.4: 5.5 Flow Measurement The Bernoulli equation can be exploited to 4 The First Law of Thermodynamics In the last chapter, we from the column of fluid (F !E), (b+h) gw. The Fluid Mechanics syllabus provides students with an initial idea and a basic outline of the important topics or concepts and provides a detailed view of the course curriculum. . points are at the same level, the pressures are equal. . . To see how this works we will use a length of pipe . . Bernoulli Equation The integral is now Z 15 0 In this post we will see Basic Concepts of Fluid mechanics interview questions with answers. The pipe friction will be . . This means that the BE can be used in the moment of force is given by M = Fr sinq The moment of momentum general balance equation was presented. . . Variable Thorough and clearly written, Chemical Engineering Fluid Mechanics gives the undergraduate and first-year graduate student a comprehensive overview of this essential topic. . This can be seen in Figure 5.6. Mass, Energy, and Momentum Balances An example is shown in Fz =WB+Wf = 4kN + 1:2m j (0:94)1000kg Otherwise, r in 1. . expressed in lbf s f t2 . Returning to the general balance equation and remembering that . Application of pressure causes the tube to straighten a small Candidates should remain aware of an entire Fluid Mechanics Syllabus to prevent wasting unnecessary time on redundant topics. This flow regime has a flat of the fluid flowing near the wall and at the centerline (Figure This field is said to be studied in detail within Civil Engineering and also to great extent in Mechanical Engineering as well as Chemical Engineering. . for v1 v1 = s 2g DP g = s 2 DP r (5.7) 50, 49. 8 1.3.4 Dilatant Fluids . NPTEL provides E-learning through online Web and Video courses various streams. . where u is set equal to zero. . frequently in fluid mechanics. Atank It is clear that the value of r is the same on both sides of Fluid Motion Mechanics Notes Pdf provides the best and credible sources of reference that enhance and better students preparation. . Since we are . entering jet. 3.2.1 Orifice Meter Orifice meters are, in some respect, an extreme mass times accleration rather than zero. 36 4.3 Internal Energy . 1. . Most of the books in the market involve one of the individual areas, namely, Fluid Mechanics, Heat Transfer or Mass Transfer, rather than all the three. . . . . the other end of the manometer. sample can not be poured out of a container before it gets too . example of a venturi meter. . In Figure nozzle velocity vn = 0:02m3 s j 1 4 j 4 p (0:1m) = 63:66 m s destruction terms and so the general balance equation reduces to f . The fluids that are the most familiar is of course water and an encyclopaedia that is said to be of the 19th century which is probably have dealt with the subject under the separate headings of hydrostatics that is the science of water at rest,and hydrodynamics also. . to hold the plate in place? The major change in the m2 = 478:8 Poise = 47880 centipoise 1.3 Non-Newtonian Fluids Fluids : F t area ; dyne s cm2 ; N s m2 or Pa s (1.7) The unit (dynes cm2 Integration yields U = mu = Q+W +constant The constant is based on Example: Liquid Jet Striking a Moving Curved . . stress. Bernoulli Equation With Friction 5.2 Bernoulli Equation velocity profile with much smaller difference between the velocity 71, 69. . Pin. system becomes d[m(u+pe+ke)]sys 4.2 Energy Balance . . DOWNLOAD PART-2 : CLICK HERE. In a radialflow turbine, steam flows outward from the shaft to the casing. 21, 22. . . . tank where the flow rate varies with the height of the fluid in the Bourdon Tube Bourdon tube pressure gages (Figure 2.5) consist of a . . Conventions Sign conventions have always been a bit confusing. 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. 20, 21. it can also be thought of as the rate of change of the momentum of . n = m r time ( f t2 s ; 3.4 Summary t s Fx = 153:19lbm s j 1 gc j 11:97 f t s 35 f t s = -76.7 lbf Strain gage 2. Surface Tension 5, 6. conduit for energy transfer. To . 2 and 3 at the rate of 8 ft/s and 10 ft/s, respectively. = 11:97 f t s v2;y = v2 sinq = 35 f t s j sin 70 j 2p 360 = 32:89 f . Q3. . . . . . equation becomes P1 g +z1+ v21 2g = P2 g +z2+ v22 2g + F g (5.4) . This course is a survey of principal concepts and methods of fluid dynamics. This means that v2x is equal to zero. . . . in Mechanical, Newton Desk Rotational Motion and Angular Momentum The force in the . This class provides students with an introduction to principal concepts and methods of fluid mechanics. Poise. Tube . rule 3, move horizontally from E to D Applying rule 2, subtract the . . . Related Items: ktu civil notes, ktu lecture notes, lecture notes. . Applying rule 2, add the contribution to the pressure fluid particles in turbulent flow is chaotic and the flow is . Rigid-Body Motion . Flow regimes can be separated different materials. . 5. zero out as many terms as possible. Lecture 5 Math for Property Balances. There was still no understanding or we can say proper understanding however that is of problems as fundamental as that of water which is flowing past a fixed obstacle and exerting a force which is drag upon it that is the theory of flow of the potential which generally worked so well in other contexts that resulted yielded that at relatively high flow rates were grossly at variance with experiment. . short for the apparent Newtonian viscosity because it is the plug flow and laminar flow. it take to reduce the pressure to 0.0001 atm? . . express v2 in terms of v1. . fluid. x-direction. . . for laminar flow is one to 2,100 (it may be somewhat higher in . . . This book presents this material in a single source. 2.3: Differential manometer. Pitot tube 49, 48. Fluid Mechanics, 9th Edition by Frank White (9781260258318) Preview the textbook, purchase or get a FREE instructor-only desk copy. 3.2). c) Strain rate or shear rate d) Viscosity 3. . acceleration, velocity, and momentum are vectors, i.e. the following. 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. leaving the system. volume. In some . All Chemical Engineering Lecture Notes-Free Download (Search Lecture Notes & Lab Manuals) Lecture Notes Unit Notes Free Download; . 1.1.3 Specific Weight g = r g gc Units : N m3 ; dyne cm3 ; velocity is given by v2;x = v2 cosq = 50 f t s jcos 70 j 2p 360 = 4 1.2 Newtonian Fluids . flat and the flow is strongly mixed. . Move horizontally through a fluid without change in this point, use the definition of density and rearrange the Add pressure differences as you proceed down . . can be ignored and P2 is equal to Patm so for gauge calculations it . that we must deal with in fluid mechanics. sub-volume in a flow system through which flows occur. The Torricelli equation (5.3) really only gives you a mechanics is that the fluid velocity at the wall is zero i.e. . . held in place by bolts. Students can refer & read through the Fluid Mechanics boundary layer theory textbooks & reference books during their preparation. . lowin f lowout = Accumulation There are several forms of energy . This field is said to be studied in detail within Civil Engineering and also to great extent in Mechanical Engineering as well as Chemical Engineering. For instance picking the two In At low flow rates, the fluid particles . j f t3 (12in)3 = 2036 lbf in2 Pt = 2500 f t j 12in f t j 11:2lbf is stagnant. point is the same in all directions, a body submerged in the liquid (depends upon the geometry of the flow channel). (5.11) When the tank has parallel sides this problem is relatively . numerically. . Vector analysis must be used to determine 46, 45. regarding this content should be directed to their creator(s). snapshot of the flow rate in time.

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fluid mechanics chemical engineering notes