Fluid Mechanics Unit 4 | Complex Potential, Complex Velocity & Stream Function | MSc Mathematics

📚 MSc Mathematics – Fluid Mechanics | Unit 4 In this lecture, we discuss three important concepts of two-dimensional potential flow: 1. Complex Potential Function 2. Complex Velocity 3. Stream Function ✨ Topics Covered in This Lecture: Introduction to complex potential. Definition and mathematical expression of complex potential. Relation between velocity potential (φ) and stream function (ψ). Complex potential: w(z) = φ + iψ. Complex velocity and its mathematical expression. Relation between complex velocity and velocity components. Understanding the physical meaning of streamlines and equipotential lines. 🎯 Lecture Objective: To understand how complex variables are used to represent two-dimensional irrotational and incompressible fluid flow and how complex potential, complex velocity, and stream function are related. This lecture is explained step by step in easy language, keeping MSc Mathematics examination preparation in mind. 📌 Course: MSc Mathematics 📌 Subject: Fluid Mechanics 📌 Unit: 4 📌 Channel: Mathsaura Subscribe to Mathsaura for more MSc Mathematics lectures, PYQ solutions, important theorems, and exam-oriented explanations. #FluidMechanics #ComplexPotential #ComplexVelocity #StreamFunction #MScMathematics #Mathematics #Mathsaura #PotentialFlow