Fluid Mechanics and Hydraulics Handwritten Notes PDF

Key takeaways

• Covers the full fluid mechanics and hydraulics syllabus in eight topic sections.
• Boxed formulas for hydrostatic force, Bernoulli, Darcy-Weisbach, Manning and the hydraulic jump.
• Worked examples for venturimeter discharge, pipe head loss, critical depth and jump height.
• Tables for fluid types, minor losses, economical channel sections, model laws and turbines.
• Original Uncodemy revision notes based on the common syllabus.

About these Fluid Mechanics and Hydraulics notes

Fluid Mechanics and Hydraulics carries a lot of derivations and a lot of numericals. Students lose marks mainly on units and on mixing up similar formulas. These notes keep each formula next to its conditions and give a worked example where the numbers are easy to check.

These are original Uncodemy revision notes. They follow the topics common to most Indian B.Tech Civil syllabi for Fluid Mechanics and Hydraulics, written in a neat handwritten style with formulas boxed and key numbers highlighted. They are short notes for revision, not a replacement for your textbook or class notes.

What's inside the notes: unit by unit

The PDF moves from fluids at rest to fluids in motion, then to channels, models and machines.

Unit 1: Fluid properties

• Density, viscosity and Newton's law: dynamic and kinematic viscosity and how they change with temperature.
• Types of fluid: Newtonian, dilatant, pseudo-plastic, Bingham plastic and ideal fluids.
• Surface tension and capillarity: pressure in drops and bubbles, capillary rise and bulk modulus.

Unit 2: Fluid statics

• Pressure and manometers: Pascal's law, hydrostatic law and pressure measuring devices.
• Forces on surfaces: total pressure and centre of pressure on plane and curved surfaces.
• Buoyancy and stability: metacentric height and stability conditions for floating bodies.

Unit 3: Fluid kinematics

• Types of flow: steady, uniform, laminar and irrotational flow, and streamlines, pathlines and streaklines.
• Continuity, stream function and velocity potential: and the flow net.

Unit 4: Fluid dynamics

• Euler and Bernoulli: the energy equation, HGL and EGL.
• Flow measurement: venturimeter, orifice meter, pitot tube and notches, with a venturimeter example.
• Momentum equation: forces on bends and the force of a jet on plates.

Unit 5: Flow through pipes

• Laminar flow: Hagen-Poiseuille equation and f = 64/Re.
• Turbulent flow and losses: Darcy-Weisbach, Moody chart idea, minor losses and a head loss example.
• Pipe systems: series, parallel, equivalent pipe, maximum power transmission, water hammer and boundary layer.

Unit 6: Open channel flow

• Uniform flow: Chezy and Manning formulas and the most economical sections.
• Specific energy and critical flow: Froude number and critical depth, with an example.
• Hydraulic jump and GVF: depth ratio, energy loss and the classes of water surface profiles.

Unit 7: Dimensional analysis and models

• Buckingham π theorem: how to form dimensionless groups.
• Similarity and model laws: Froude and Reynolds laws and the scale ratios for velocity, discharge and force.

Unit 8: Hydraulic machines

• Turbines: Pelton, Francis and Kaplan compared by head and specific speed.
• Pumps: specific speed, draft tube, cavitation, priming and pumps in series or parallel.

How the PDF is laid out

Each section opens with short definitions in bullet form, followed by tables that compare types, tests or methods. Formulas are written in separate boxes so they stand out when you flip through the pages, and the values that examiners ask most often are highlighted. Short tip boxes point out exam favourites and common traps. Wherever a formula is used in exams, a short solved example shows the steps with real numbers. The last page lists 10 most asked practice questions so you can test yourself after revising.

How to revise Fluid Mechanics and Hydraulics

• Write conditions with each formula. Bernoulli needs steady, ideal, incompressible flow along a streamline. Many marks are lost on assumptions.
• Practise derivations in a fixed set. Bernoulli from Euler, venturimeter, Hagen-Poiseuille, economical channel and hydraulic jump come up again and again.
• Keep SI units throughout. Convert mm and litres before you substitute, and write units at each step.
• Learn the comparison tables. Venturi versus orifice, Pelton versus Francis versus Kaplan, and the model laws make quick short answers.
• Do one mixed numerical set a day. Take one statics, one pipe and one channel problem each day in the last week.

Exam focus: high-weightage topics and numericals

Papers usually have one derivation and one numerical per unit. These are frequent:

• Total pressure and centre of pressure on submerged plates.
• Metacentric height and stability of floating bodies.
• Bernoulli's equation and the venturimeter discharge formula.
• Pipe losses, pipes in series and parallel.
• Critical depth, hydraulic jump and Froude model law.

Typical numericals to practise

1. Find total force and centre of pressure on a vertical or inclined plate.
2. Find the discharge through a venturimeter with a mercury manometer.
3. Find the head loss in a pipe by Darcy-Weisbach, including minor losses.
4. Find critical depth and minimum specific energy for a rectangular channel.
5. Find the sequent depth and energy loss in a hydraulic jump.

A one-week plan with these notes

If your Fluid Mechanics and Hydraulics exam is a week away, this plan covers the whole PDF once and leaves time for practice.

• Day 1: Fluid properties and Fluid statics. Read the section, then close the PDF and write the key formulas and tables from memory.
• Day 2: Fluid kinematics and Fluid dynamics. Read the section, then close the PDF and write the key formulas and tables from memory.
• Day 3: Flow through pipes and Open channel flow. Read the section, then close the PDF and write the key formulas and tables from memory.
• Day 4: Dimensional analysis and models and Hydraulic machines. Read the section, then close the PDF and write the key formulas and tables from memory.
• Day 5: redo every solved example in the notes without looking at the steps.
• Day 6: answer the 10 practice questions at the end of the PDF under a time limit.
• Day 7: solve one recent official paper from your university and revise the topics you got wrong.

Who these notes are for

• B.Tech semester exams: covers the derivations and numericals of a typical Fluid Mechanics or Hydraulics paper.
• GATE CE basics: open channel flow, pipe losses and Froude model ratios are asked in most GATE CE papers.
• Site work and interviews: engineers in water supply, irrigation and hydropower work get quick formula recall.

Check your own syllabus and the current IS codes

Universities split and order these topics differently, and some leave out units or add extra ones. Match the notes against your own university syllabus and recent official question papers before you plan your revision. This subject is mostly theory and does not depend on IS codes, but always check which form of the friction factor (f or 4f) your textbook and university use. Codes are revised from time to time, so check the current edition and any amendments before you use a value in design work or quote it in an answer. Uncodemy keeps a list of previous year question paper sources if you want official papers to practise with.

Download Fluid Mechanics and Hydraulics Handwritten Notes PDF

Sources and further reading

• NPTEL: Civil Engineering courses (IIT faculty)
• Central Water Commission