Author Profile

Dr. Pushap Lata Sharma, Associate Professor at HPU Shimla, holds a Ph.D. in Mathematics with over 26 years of teaching and research experience. Her specializations include stability analysis, nanofluids, and viscoelastic flows, with 60+ publications in high-impact Scopus and SCI journals. She has presented over fifty research papers at various national and international conferences and delivered more than twenty invited talks. Dr. Sharma has successfully guided three Ph.D. and fourteen M.Sc. scholars, authored six textbooks, completed a RUSA-funded minor project, and currently leads a MERU-USHA research project. Honored with the Best Teacher Award, she actively contributes to editorial and academic leadership roles. Dr. Gian Chand Rana, Principal of Govt. Degree College Dhaneta (HP), holds a Ph.D. in Mathematics from HPU Shimla with over 32 years of teaching and research experience. A prolific researcher with 145+ publications in reputed journals, he specializes in stability analysis and fluid dynamics, including nanofluids and viscoelastic fluids. He has guided Ph.D./M.Phil. Scholars, authored textbooks, and organized national and international conferences. Dr. Rana also serves on editorial boards and reviews for 45+ reputed journals, reflecting his strong academic leadership. Dr. Ajit Kumar, Assistant Professor and HOD of Mathematics at HP University Evening Studies, Shimla, holds a Ph.D. in thermal and electrothermal instabilities in nanofluids. With 15+ years of teaching and research experience, he has published 18+ papers in Scopus and WoS journals, authored a textbook, and holds a patent. He is leading a MERU-funded research project, actively contributes to academic administration, and regularly organizes workshops and conferences.

About The Book

This book, Introduction to Modern Fluid Dynamics and Its Applications, offers a lucid yet rigorous treatment of fluid mechanics for postgraduate students and researchers. It bridges theoretical foundations with real-world applications, covering key topics like Navier-Stokes equations, dimensional analysis, and slow flow solutions. The text integrates mathematical formulations with practical examples from engineering, biology, and daily life. Rooted in years of teaching and research, it aims to inspire deeper inquiry into the dynamic world of fluid flow.

Table of Contents

Preface
1. INTRODUCTION TO FLUID DYNAMICS
2. INTRODUCTION TO FLUID DYNAMICS (Contd.)
3. FUNDAMENTAL EQUATIONS OF VISCOUS FLUID DYNAMICS
4. DIMENSIONAL ANALYSIS AND DYNAMICAL SIMILARITY
5. EXACT SOLUTIONS OF THE NAVIER-STOKES EQUATIONS
6. THEORY OF VERY SLOW MOTION
APPENDIX
References