Research activities
Laboratory Facilities: The Department has well established Modeling and Computational laboratory equipped with latest computational software’s like MATLAB, MATHMATICA, PDE SOLVER for programming of numerical Techniques with capacity of 15 Computer system.
Research Areas:
The Department has research facilities in following thrust areas:
1. Fluid Mechanics
- Heat and Mass Transfer
- Transport in Porous Media
- Boundary Layer Theory
- Lubrication, Rheology
- Micropolar Fluids in Thermo-Elasticity
2. Numerical Analysis
- Numeric’s of Delay Differential Equations
- Fractional Differential Equations
- Numerical Methods with analysis for Singular Boundary Value Problems
- Singular Perturbation Problems
- Numerical Methods for PDE’s
- Differential Equation
- Numerical solution of Fractional Partial Differential Equation
- Differential Geometry of manifolds and their applications.
3. Reliability Analysis
- Stability Analysis and Control of Robotic Systems
- Optimization Theory Mathematical Modelling of Dynamical Systems
- Reliability Analysis
4. Fourier Analysis
- Fourier Approximation
- Summability Theory
- Functional Analysis
- Operator Theory
- Wavelets
5. Algebra and Special function
- Two parameter quantum algebras and special functions
- Lie Theory
Research Facilities
The Department has research facilities in following thrust areas:
| 1. Fluid Mechanics | 2. Elasticity | 3. Operation Research & Reliability Analysis |
|---|---|---|
| Electrohydrodynamics | Electro-elastic of Mechanics | Optimization Theory |
| Elastohydrodynamics | Nonlinear Elasticity | Probability and Stochastic Modeling |
| Magnetohydrodynamics | Elastic Waves | Game Theory Time Series Analysis and Forecasting |
| Ferrohydrodynamics and Computer-Aided fluid flow problems | Coupled Stress Theory | |
| Thermo-elasticity | ||
| Magneto-thermo-elasticity and Granular Media |
Detail of Ph.D. Scholars
|
Sr. No. |
Name
|
Guide Name
|
Part/Full Time |
Roll Numbers |
Email Id |
|
1. |
Deepika |
Dr. A.S.V. Ravi Kanth |
Part |
6160001 |
|
|
2. |
Geeta Rani |
Dr. Sarasvati Yadav |
Part |
6160007 |
|
|
3. |
Ruchika |
Dr. Naveen Kumar, |
Part |
6160017 |
|
|
4. |
Komal Rani |
Dr. Naveen Kumar |
Part |
6160002 |
|
|
5. |
Paramjeet Sangwal |
Dr. Smita Sonker |
Part |
6180018 |
|
|
6. |
Vivek Kumar |
Dr. Paras Ram |
Full |
61900046 |
|
|
7. |
Devender |
Dr. Paras Ram |
Full |
61900027 |
|
|
8. |
Sangeeta Devi |
Dr. A.S.V Ravi Kanth |
Full |
61900022 |
|
|
9. |
Shaifali |
Dr. Sarasvati Yadav |
Full |
61900127 |
|
|
10. |
Soni |
Dr. Naveen Kumar |
Full |
61900126 | |
|
11. |
Rahul |
Dr. Amit Prakash |
Full |
61900119 |
|
|
12. |
K M Shelly |
Dr. Naveen Kumar |
Full |
62000004 |
|
|
13. |
Neeraj Devi |
Dr. Smita Jiaswal |
Full |
62000025 |
|
|
14. |
Lalit Mohan |
Dr. Amit Prakash |
Full |
62000037 |
|
|
15. |
Priyanka Moond |
Dr. Smita Jiaswal |
Full |
62000044 |
|
|
16. |
Rozy Jindal |
Dr. Smita Jiaswal |
Full |
62100020 |
|
|
17. |
Pulkit Kumar |
Dr. Paras Ram |
Full |
62100021 |
|
|
18. |
Swati |
Dr. Amit Prakash |
Full |
62200017 |
|
|
19. |
Sumit |
Dr. Sarasvati Yadav |
Full |
62200018 |
|
|
20. |
Anju |
Dr. Naveen Kumar |
Full |
62200019 |
|
|
21. |
Varela Pavankalyan |
Dr. A.S.V Ravi Kanth |
Full |
62200020 |
|
|
22. |
Manish |
Dr. Sarasvati Yadav |
Full |
62200021 |
[email protected] |
|
23. |
Manish Kumar |
Dr. Amit Prakash |
Full |
62200022 |
|
|
24. |
Manoj Kumar |
Dr. Amit Prakash |
Full |
62200024 |
|
|
25. |
Sonia |
Dr. Smita Jiaswal |
Full |
62200025 |
|
|
26. |
Shabnam |
Dr. Amit Prakash |
Full |
62200026 |
|
|
27. |
Nidhi |
Dr. Naveen Kumar |
Full |
62200027 |
Details of Ph. D. Awarded Students
|
Sr. No. |
Name |
Supervisors |
Thesis Title |
|
1. |
Amit Manocha |
Dr. D.V. Singh, Dr. Jai Singh |
Profit Evaluation of Some Reliability Models for Technology |
|
2. |
Savita Garg |
Dr. D.V. Singh, Dr. Jai Singh |
Reliability & Maintainability Analysis of Some Complex Systems |
|
3. |
Rajesh Kumar |
Dr. Kuldeep Kumar |
Some Problem On Finite Deformation |
|
4. |
Nidhi Sharma |
Dr. Paras Ram |
Dynamic Problems of Micropolar Thermoelasticity |
|
5. |
Vijay Kumar |
Dr. Kuldeep Kumar |
Some new Aspect of the Sequences. |
|
6. |
Vijay Kumar Gupta |
Dr. Kuldeep Kumar, Dr. Jai Singh |
“Theory Reliability / Optimization Fuzzy Sets” |
|
7. |
Amit Goyal |
Dr. D. V. Singh, Dr. Gulshan Taneja |
Reliability And Profit Analysis of Some Systems working Under Different Situations & Comparison There of |
|
8. |
Kushal Sharma |
Dr. Paras Ram |
Problems On Ferrofluid Flow Due To Rotating Disk |
|
9. |
Archana Sharma |
Dr. Kuldeep Kumar |
Behavioural Analysis of Some Complex Systems and Their Availability Evaluation |
|
10. |
Rajeev Kumar |
Dr. Paras Ram, Dr. Gulshan Taneja |
Study of Reliability And Economic Aspect for Some Technical Systems |
|
11. |
Deepika Garg |
Dr. Kuldeep Kumar |
Reliability Analysis and Optimization of Some Mechanical Systems |
|
12. |
Pawan Kumar |
Dr. Kuldeep Kumar |
Behavior Analysis Of Some Complex Systems Using Fuzzy Availability. |
|
13. |
Divya |
Dr. Kuldeep Kumar, Dr. Rajnish Kumar |
Wave Propagation in Swelling Porous Elastic Media” |
|
14. |
Anupam Bhandhari |
Dr. Paras Ram |
Field Induced Viscosity Effect on Ferrofluid Flow in The Presence of a Disk |
|
15. |
Vikas Kumar |
Dr. Paras Ram |
Variably Viscous Ferrofluid Boundary Layer Flow With Heat Transfer In The Presence Of A Heated Disk |
|
16. |
Hawa Singh |
Dr. Paras Ram, Dr. Ashok Kumar |
An investigation of unsteady MHD free convective heat and mass transfer flow past a vertical porous plate with suction |
|
17. |
Vimal Kumar Joshi |
Dr. Paras Ram |
Transport phenomena in magnetic nanofluids influenced by geothermal viscosity |
|
18. |
Murali Mohan Kumar Palli |
Dr. A.S.V. Ravi Kanth |
Parameter Uniform Numerical analysis for Singularly Perturbed Difference Equations Based on Spline Approximation |
|
19. |
Manoj Kumar |
Dr. Amit Kumar, Dr. A.S.V. Ravi Kanth |
Iterative Method for a class of Fractional Partial Differential Equations |
|
20. |
Mittu Walia |
Dr. Paras Ram |
Nanofluid modeling to simulate heat and mass transfer flow: A transport for various flow frames |
|
21. |
Vijay Verma |
Dr. Amit Kumar |
Numerical Solution for Time Fractional Partial Differential Equations Via Caputo Derivative |
|
22. |
Manju |
Dr. Naveen Kumar |
Design Analysis and Simulation of Hybrid Control Schemes for Certain Robot Manipulators |
|
23. |
Neetu Garg |
Dr. A.S.V. Ravi Kanth |
A Numerical Treatment for a Class Of Fractional Partial Differential Equations |
|
24. |
Anil Kumar |
Dr. Paras Ram |
Ferro Hydrodynamic Lubrication Of Various Slider Bearings: A Theoretical Analysis |