Mechanical Engineering
Fluid Mechanics Tutoring
Who this is for
Undergraduate mechanical, civil, aerospace and general engineering students in a first fluid mechanics course — typically after Statics and Dynamics, and often alongside Thermodynamics.
Civil students meeting it as hydraulics and mechanical students meeting it as fluid dynamics are doing the same course with different examples, and both are welcome.
This is the tier I hold a graduate degree in.
Advanced tier — $90/hr online, $120/hr in person. Full pricing →
What usually goes wrong
- Bernoulli applied where it is not valid. Along a streamline, steady, incompressible, inviscid, no shaft work. Students learn the equation in one lecture and the restrictions in a footnote, then spend the term applying it across pumps and through losses where it simply does not hold.
- Choosing the control volume. Same discipline as Thermodynamics and the same failure: the boundary is drawn casually, and the momentum flux terms that follow are then attached to the wrong surfaces.
- Momentum problems treated as force problems. The control-volume momentum equation is a vector statement, and sign errors on the flux terms are the single most common way to lose a nozzle or elbow problem.
- Gauge versus absolute pressure. Mixed silently within one problem, usually where atmospheric pressure enters on only one side.
- Hydrostatic forces on submerged surfaces. The resultant and its line of action are two separate questions, and the second one is where the centre of pressure gets confused with the centroid.
- Major and minor losses. Reading a Moody chart, choosing a friction factor, and deciding whether the flow is laminar or turbulent before doing either.
- Dimensional analysis. Buckingham Pi is mechanical once understood and baffling while it is not, and it usually arrives when the term is already crowded.
Topics covered
- Fluid properties — density, viscosity, surface tension, compressibility
- Fluid statics; manometry and pressure measurement
- Hydrostatic forces on plane and curved surfaces; centre of pressure
- Buoyancy and stability
- Flow classification — steady, uniform, laminar, turbulent
- Continuity and conservation of mass
- Bernoulli's equation and, more importantly, its restrictions
- The energy equation with pumps, turbines and head loss
- Control-volume momentum analysis — nozzles, elbows, jets, moving vanes
- Reynolds number and flow regime
- Viscous internal flow; laminar and turbulent pipe flow
- Major and minor losses; friction factors and the Moody chart
- Pipe systems in series and parallel
- Dimensional analysis and similitude (Buckingham Pi)
- External flow — drag and lift, boundary layers, where your course covers them
How I teach Fluid Mechanics
Every relation carries its conditions. When we write Bernoulli, we say out loud what it assumes and check the problem against that list. Students who build this habit stop losing marks to a correct equation used in the wrong place.
The control volume is drawn before anything is calculated. Where the surfaces cut, what crosses each one, and which direction is positive — decided first, written down, and not quietly changed later.
Regime before formula. Reynolds number and flow regime get established before a friction factor is chosen, so the chart is a lookup rather than a guess.
Pressure references are fixed once. Gauge or absolute, chosen at the start and held, which removes an entire category of error.
Answers get sanity-checked physically. Flow that speeds up through an expansion, a pump that reduces head, a drag force pointing upstream — each is a signal to go back, and reading them is faster than re-deriving.
Preparation is built around your course, not a stock problem set. The ASVAB is the one subject I keep a prebuilt curriculum for, because that exam has a single published blueprint that is the same for every student. University coursework is not like that — notation, sequence and what the exam emphasises vary by instructor — so for Fluid Mechanics I prepare against your own material instead. Send the topics, the assignment, the review sheet or the exam coverage ahead of time and I will have work ready for what you are actually being graded on.
Who this is not a fit for
- Compressible flow, gas dynamics or aerodynamics as the primary subject. Ask first and I will tell you honestly whether your course is one I can support well. See the mechanical engineering page →
- Graduate fluid mechanics, turbulence modelling, or research work.
- CFD tool training — ANSYS Fluent, OpenFOAM, Star-CCM+ — as a subject in itself.
- Anyone wanting homework solved rather than taught. The graded work has to be yours.
Common questions
Is there prepared practice material for Fluid Mechanics?
Not a stock problem set. The ASVAB has prebuilt packets because that exam has one fixed, published blueprint; university coursework varies too much between instructors for a generic set to be worth as much as preparation aimed at your actual course. Send the topics, the assignment or the exam coverage ahead of time when you can, and I will prepare around those before we meet.
I can do the algebra but I never know which equation to start with.
That is the course, and it is the most teachable part of it. Almost every relation here is valid only under stated conditions, so the starting decision is a checklist rather than an instinct — and a checklist can be learned in a session or two.
Which textbook do you use?
Yours. White, Çengel & Cimbala, and Munson organise the material differently and differ on notation for head and loss terms, so I follow your course.
Do you cover the Moody chart and pipe networks?
Yes. Loss calculations and pipe systems are usually where a first fluids course gets heaviest, and they are a common reason students book.
Online or in person?
Online anywhere in the United States. In person by appointment within approximately 15 minutes of ZIP code 23462 in Virginia Beach, including Oberndorf Central Library.
Related subjects
- Thermodynamics →The other control-volume course. Students who fixed their boundary discipline in one usually find the other much cheaper.
- Dynamics →Where conservation of momentum is first written for a body, before this course rewrites it for a flow.
- Mechanical engineering →The rest of the core sequence, and where the four courses are described together.
Send me the problem you are stuck on.
Your syllabus and one problem is enough for me to tell you where the trouble actually is — usually it is an assumption rather than the arithmetic. That answer is free whether or not you book.
Start an inquiry