Department |
Department of Mathematics |

Designation |
Associate Professor |

Educational Qualification |
Ph.D. (NIT Warangal) |

madaspra.maths@nitrr.ac.in, kpm973@gmail.com | |

Contact Number |
09575508447 |

KRISHNA PRASAD MADASU

Department |
Department of Mathematics |

Designation |
Associate Professor |

Educational Qualification |
Ph.D. (NIT Warangal) |

madaspra.maths@nitrr.ac.in, kpm973@gmail.com | |

Contact Number |
09575508447 |

Areas of Interest

FLUID DYNAMICS

Publications

1**. **S. Priya,** M. Krishna Prasad**, “Parallel and perpendicular flows of a couplestress fluid past a solid cylinder in cell model:Slip condition”, Phys. Fluids, 35, 033101 (2023)

2.** M. Krishna Prasad**, S. Priya, “Torque on the slow rotation of a slightly deformed slip spherein a Brinkman medium”, Pramana – J. Phys., 97:44 (2023)

3. **M. Krishna Prasad**, S. Priya, “A study of couple stress fluid past an isotropic porous medium”, Special Topics & Reviews in Porous Media-An International Journal, 13(4), 23-31 (2022).

4.** M. Krishna Prasad**, S. Priya, “An analytical study of couple stress fluid through a sphere with an influence of the magnetic field”, Journal of Applied Mathematics and Computational Mechanics, 21(3), 99-110 (2022).

5. **M. Krishna Prasad**, S. Priya, “Couple stress fluid past a sphere embedded in a porous medium”, Archive of Mechanical Engineering, 69(1),5-19 (2022).

6. **M. Krishna Prasad**, B. Tina, “Magnetohydrodynamic effect on axisymmetric Stokes flow past a weakly permeable spheroid with a solid core”, Archives of Mechanics,73,599-633 (2021).

7. **M. Krishna Prasad**, G. Manpreet Kaur, B. Tina, “Slow motion past a spheroid implanted in a Brinkman medium: slip condition”,International Journal of Applied and Computational Mathematics, 7 (2021).

8. B. Tina, **M. Krishna Prasad**, “Slow flow past a weakly permeable spheroidal particle in a hypothetical cell”, Archive of Mechanical Engineering,68(2),119-146 (2021).

9. **M. Krishna Prasad**, “Boundary effects of a nonconcentric semipermeable sphere using Happel and Kuwabara cell models”, Applied and Computational Mechanics 15 (2021).

10.** M. Krishna Prasad**, Tina Bucha, “Effect of magnetic ﬁeld on the slow motion of a porous spheroid: Brinkman’s model”, Archives of Applied Mechanics, 91,1739-1755 (2021).

11.** M. Krishna Prasad**, Tina Bucha "MHD on a cylinder implanted in a porous media of micropolar fluid", Journal of Theoretical and Applied Mechanics, 50, 307-320 (2020).

12.** M. Krishna Prasad**, Tina Bucha, "Influence of MHD on micropolar fluid flow past a sphere implanted in porous media", Indian Journal of Physics, 95(6),1175-1183 (2021).

13.** M. Krishna Prasad**, “Slip flow of a sphere in non-concentric spherical hypothetical cell”, Journal of Applied Mathematics and Computational Mechanics, 19(3),59-70 (2020).

14.** M. Krishna Prasad**, Tina Bucha, "Flow past composite cylindrical shell of porous layer with a liquid core: magnetic effect", Journal of the Brazilian Society of Mechanical Sciences and Engineering , 42:452 (2020).

15.** M. Krishna Prasad**, Tina Bucha, “MHD viscous flow past a weakly permeable cylinder using Happel and Kuwabara cell models", Iranian Journal of Science and Technology, Transactions A: Science 44:1063–1073 (2020).

16.** M. Krishna Prasad**, Tina Bucha, “Magnetohydrodynamic creeping ﬂow around a weakly permeable spherical particle in cell models", Praman-J. Phys.,94:24 (2020).

17.** M. Krishna Prasad**, “Drag force of a porous particle moving axisymmetrically in a closed cavity of micropolar fluid", Journal of Applied Mathematics and Computational Mechanics, 18(4), 41-51 (2019).

18.** M. Krishna Prasad**, Tina Bucha, “Creeping flow of fluid sphere contained in a spherical envelope: magnetic effect", SN Applied Sciences, 1:1594, (2019).

19.** M. Krishna Prasad**, “Cell models for Non-Newtonian fluid past a semipermeable sphere", International Journal of Mathematical, Engineering and Mangement Sciences, 4(6), 1352-1361 (2019).

20.** M. Krishna Prasad**, G. Manpreet Kaur, “Slow steady rotation of an axially symmetric micropolar fluid sphere in a nonconcentric Newtonian spherical container", World Journal of Modelling and Simulation, 15(2), 106-115 (2019).

21.** M. Krishna Prasad**, Tina Bucha, “Cell model of viscous flow past a semipermeable cylinder", International Journal of Advanced Trends in Computer Applications (IJATCA) , 1(1), 101-105 (2019).

22.** M. Krishna Prasad**, Tina Bucha, “Impact of magnetic field on flow past cylindrical shell using cell model", Journal of the Brazilian Society of Mechanical Sciences and Engineering, 41:320 (2019).

23.** M. Krishna Prasad**, Tina Bucha, “Steady viscous flow around a permeable spheoridal particle”, International Journal of Applied and Computational Mathematics, 5:109 (2019).

24.** M. Krishna Prasad**, “Slow steady flow past a porous cylinder with radially varying permeability using cell models”, International Journal of Applied and Computational Mathematics, 5:92 (2019).

25.** M. Krishna Prasad**, Tina Bucha, “Effect of magnetic field on the steady viscous fluid flow around a semipermeable spherical particle", International Journal of Applied and Computational Mathematics, 5:98 (2019).

26.** M. Krishna Prasad**, G. Manpreet Kaur, “Cell models for viscous fluid past a micropolar fluid spheroidal droplet ", Journal of the Brazilian Society of Mechanical Sciences and Engineering, 40:114 (2018).

27.** M. Krishna Prasad**, G. Manpreet Kaur, “Rotational motion of micropolar fluid spheroid in concentric spheroidal container ", Fluid Dynamics & Materials Processing, 13(2), 107-125 (2017).

28. **M. Krishna Prasad**, G. Manpreet Kaur, “Axisymmetric Stokes flow past a composite spheroidal shell ofimmiscible fluids", Eur. Phys. J. Plus 132: 469 (2017).

29**. M. Krishna Prasad**, G. Manpreet Kaur, “Wall effects on viscous fluid spheroidal droplet in a micropolar fluidspheroidal cavity", European Journal of Mechanics / B Fluids, 65, 312–325 (2017).

30.** M. Krishna Prasad**, G. Manpreet Kaur, “Rotary oscillations of a micropolar fluid spherein a bounded medium", Applied and Computational Mechanics,11, (2017).

31.** M. Krishna Prasad**, G. Manpreet Kaur, “Stokes flow of viscous fluid past a micropolar fluid spheroid", Advances in Applied Mathematics and Mechanics, 9 (5), 1076-1093, (2017).

32.** M. Krishna Prasad**, D. Srinivasacharya, “Micropolar fluid flow through a cylinder and a sphere embedded in a porous medium", International Journal of Fluid Mechanics, 44(3): 229–240 (2017).

33. **M. Krishna Prasad**, G. Manpreet Kaur, “Stokes flow of micropolar fluid past a viscous fluid spheroid with non-zero boundary condition for microrotation”, Sadhana, 41 (12), 1463–1472 (2016).

34. **M. Krishna Prasad**, G. Manpreet Kaur, D. Srinivasacharya, “Slow steady rotation of an approximate sphere in an approximate spherical container with slip surfaces”, Int. J. Appl. Comput. Math, 3, 987–999 (2017).

35.** M. Krishna Prasad**, G. Manpreet Kaur, “Steady rotation of micropolar fluid sphere in concentric spherical container”, Proceedia Engineering, 127, 469-475 (2015).

36. D. Srinivasacharya, **M. Krishna Prasad**, “Rotation of a porous approximate sphere in an approximate spherical container ”, Latin American Applied Research, 45, 107-112 (2015).

37. D. Srinivasacharya, **M. Krishna Prasad**, “Axi-symmetric motion of a porous approcximate sphere in an approximate spherical container ”, Arch. Mech. 65(6), 485-509 (2013).

38. D. Srinivasacharya, **M. Krishna Prasad**, “Axisymmetric creeping motion of a porous approximatesphere with an impermeable core”, Eur. Phys. J. Plus. 128:9 (2013).

39. D. Srinivasacharya, **M. Krishna Prasad**, “Slow Steady rotation of a porous sphere in aspherical container”, J. Porous Media 15 (12) 1105-1110 (2012).

40. D. Srinivasacharya, **M. Krishna Prasad**, “Creeping motion of a porous sphere with impermeablecore in a spherical container”, Indian J. Theor. Phys 60 (1) (2012).

41. D. Srinivasacharya, **M. Krishna Prasad**, “On the motion of a porous spherical shell in abounded medium”, Adv. Theor. Appl. Mech., 5 (6) 247-256 (2012).

42. D. Srinivasacharya, **M. Krishna Prasad**, “Steady rotation of a composite sphere in a concentricspherical cavity”, Acta Mech. Sinica., 28 (3) 653-658 (2012).

43. D. Srinivasacharya, **M. Krishna Prasad**, “Creeping motion of a porous approximate spherewith an impermeable core in a spherical container”, European Journal of Mechanics B/Fluids,36 104-114 (2012).

44. D. Srinivasacharya, **M. Krishna Prasad**, “Creeping flow past a porous approximately sphericalshell : stress jump boundary condition”, ANZIAM J (Australian & New Zealand Industrialand Applied Mathematics Journal), 52 289- 300 (2011).

45. D. Srinivasacharya, **M. Krishna Prasad**, “Creeping flow past a porous approximate sphere -Stress jump boundary condition”, ZAMM (Journal of Applied Mathematics and Mechanics),91(10) 824-831 (2011).

Book Chapter :

1. **M. Krishna Prasad**,** "**Non-Newtonian Fluid Flow Past a Porous Sphere using Darcy’s law**" **in: Srinivasacharya D., Reddy K. (eds) Numerical Heat Transfer and Fluid Flow. Lecture Notes in Mechanical Engineering. Springer, Singapore, 2019.

2. **M. Krishna Prasad**, "Effect of Variable Viscosity on Slow Rotation of a Porous Sphere in a Cavity" in: S.R. Mishra et al Recent Trends in Applied Mathematics, Lecture Notes in Mechanical Engineering. Springer, Singapore, 2021.

3. **M. Krishna Prasad**, S. Priya, "Slow Flow Past a Slip Sphere in Cell Model: Magnetic Effect" in: Bharti R.P., Gangawane K.M. (eds) Recent Trends in Fluid Dynamics Research. Lecture Notes in Mechanical Engineering. Springer, Singapore, 2022.

Other Info.

**Educational Qualifications: **

1. Ph.D (Mathematics) from National Institute of Technology, Warangal.

Title of thesis :-“Slow Viscous Flow Past Porous Approximate Spherical Particles”

** Thesis Supervisor: Prof. D. Srinivasacharya, Department of Mathematics, NIT Warangal.**

2. M.Sc. (Applied Mathematics) from National Institute of Technology,Warangal, A.P. (2003-2005)

Title of dissertation:-“Low Reynolds Number Flow Past a Porous Approximate Spherical Shell”.

3. B.Sc. (Mathematics, Statistics & Computer Science) from Masterji Degree & P.G. College, Hanamkonda, Warangal. (Affiliated to Kakatiya University, A.P.) (2000 - 2003)

4. Intermediate (Mathematics Physics Chemistry) from C.K.M. Arts & Science College, Warangal. A.P. (1998-2000)

5. S.S.C. from Platinum Jubilee High School, Warangal. A.P. (1998).

**Teaching Experiences: **

** **1. Assistant Professor, Department of Mathematics, National Institute of Technology Raipur, Raipur - 492010, Chhattisgarh, India since May, 2013.

2. Assistant Professor, Ramappa Engineering College, Hunter Road, Warangal, A.P. , from July 2012 to April 2013.

3. Lecturer, Jayamukhi Institute of Technological Sciences, Narsampet, Warangal, A.P. , from July 2006 to April 2009.

4. Lecturer, Kakatiya Institute of Technology & Science (KITS),Warangal, A.P. , from Sept’ 2005 to April 2006.

**Awards, Honours/Distinctions:**

- Qualified GATE-2009 in Mathematics.
- Qualified STATE ELIGIBILITY TEST (AP-SET-2012) , State level exam conducted by Osmania University on 27
^{th}July 2012, Govt. of Andhra Pradesh.

**Courses currently being taught in NIT Raipur**

- Mathematics - I
- Mathematics - II
- Mathematics - III
- Mathematics - IV
- Introduction to Python Programming (Open Elective)
- Computational Mathematics
- Discrete structures
- Numerical Analysis and Computer Programming
- Statistical Method and Probability

**Courses taught previously in other colleges for UG students**

- Mathematics - I
- Mathematics - II
- Mathematics - III
- Probability and Statistics
- Mathematical Foundation of Computer Science
- Operations Research

**Ph. D. Students**

**1. Miss. Manpreet Kaur Gurdatta **(DOJ: 28 August 2014, Completed: 01 June 2018)**.**

**Thesis Title: **Slow Viscous Flow of Immiscible Fluids Past and Within Droplets

**2. Mrs. Tina Bucha **(DOJ: 28 August 2017, Completed: 15 June 2021)**.**

**Thesis Title: **Magnetic Effect on Creeping Flow Past and Within Particles

** 3. Miss. Priya Sarkar **(Ongoing, DOJ: 17 September 2019)**.**

**Thesis Title: **Stokes Flow Through an Axisymmetric Slip Particles

**4. Mr. Shekhar Nishad **(Ongoing, DOJ: 04 July 2022)

5. **Mr. Amit Kumar** (Ongoing, DOJ:15 July 2022)

**Research Projects**

**Principal Investigator, **Cell models for miropolar fluid past porous particles, 27 January 2016 to 10 May 2019, Sponsored by Chhattisgarh Council of Science & Technology, Raipur (C.G), India. (Completed)

** **

**Conducted Short Term Course/ Conferences/ Workshops**

** **1. Successfully conducted one week National level Short Term Training Programme (STTP) on **"Applied Mathematics Using Python Hands-on Experience " **organized by the Department of Mathematics, National Instittute of Technology Raipur during February 10-14, 2020, as a **Co-ordinator**.

2. Successfully conducted one week National level Short Term Training Programme (STTP) on **"Nonlinear Systems: Mathematical Modelling and Computer Simulations" **organized by the Department of Mathematics, National Instittute of Technology Raipur during January 04-08, 2016, as a **Co-ordinator**.

** **

**Invited talks**** **** **

1. Delivered lecture on the topic “*Using Python to Solve Stokes Flow Problem*” at Workshop Solving Mechanical Engineering Problems using Python, ABES Engineering College, Ghaziabad, U.P. during December 10-18, 2021.

2. Delivered lectures on the topic “*Creeping flow of a sphere in non concentric spherical container using slip condition***”** in the International Conference on Differential Equations and Control Problems: Modeling, Analysis and Computations organized by IIT Mandi during June 17-19, 2019.

3. Delivered two lectures on the topic “*Introduction to Matlab***”** in the National level Short Term Traing Programme (STTP) on Mathematical Modeling and Computation Techniques in Science and Engineering organized by the Department of Mathematics, National Institute of Technology Raipur during March 14-18, 2016.

4. Delivered four lectures on the topic “*Introduction to Matlab and its applications***”** in the National level Short Term Traing Programme (STTP) on Nonlinear Systems: Mathematical Modelling and Computer Simulations** **organized by the Department of Mathematics, National Institute of Technology Raipur during January 04-08, 2016.

**Membership of Professional Bodies**

1. Life member of Andhra Pradesh Society for Mathematical Sciences(APSMS), Osmania University,Hyderabad, A.P. with membership ID: 614.

2. Life member of Indian Society of Theoretical and Applied Mechanics (ISTAM), IIT Kharagpur,W.B.,INDIA. with membership ID: L/712.

**List of Papers Presented**

1. “*Creeping motion of a porous sphere in a spherical container*”, Andhra Pradesh Societyfor Mathematical Sciences, Jyothismanthi Institute of Technology and Science, Karimnagar, November: 12-14, 2010.

2. “*Creeping flow past a porous approximately spherical shell : Stress jump boundary condition*”,Indian Society of Theoretical and Applied Mechanics, National Institute of Technology,Hamirpur (H.P.), December: 18 - 21, 2010.

3. “*Creeping flow past a porous approximate sphere with an impermeable core*”, Andhra Pradesh Society for Mathematical Sciences, Swarna Bhabathi Institute of Science & Technology (SBIT),Khammam, December: 9- 11, 2011.

4. “*Steady rotation of a porous sphere in a spherical container - stress jump boundary condition*”,Indian Society of Theoretical and Applied Mechanics, Sardar Vallabhbhai National Instituteof Technology, Surat , Gujrat, December: 19 - 21, 2011.

5. “*Creeping flow past a porous approximate sphere - Stress jump boundary condition*”, Conferenceon New Vistas in Computational Fluid Dynamics in Engineering, NIT Warangal,January: 27-29, 2012.

6. “*Axisymmetric motion of a porous approximate sphere in an approximate spherical container*”,Andhra Pradesh Society for Mathematical Sciences, Sri Venkateswara University,Tirupati, December: 7-9, 2012.

7. “*Slow steady rotation of a porous spherical shell in a spherical container*”, Indian Societyof Theoretical and Applied Mechanics, Defence Institute of Advanced Technology, Pune,December: 17-20, 2012.

8. “*Creeping flow of micropolar fluid past a porous sphere with an impermeable core*”, ISTAM, Alliance University, Bangalore, December: 17-20, 2014

**Conferences / Workshops / STTP Attended**

1. 42nd Annual Conference, The Association of Mathematics Teachers of India, Raman Educational Institutions, Warangal, 28-30 December 2007.

2. National workshop on Numerical Methods in Engineering, National Institute of Technology, Warangal, 4-5 April 2008.

3. International Conference on Mathematical Modeling and Non-Linear equations, organized by the Department of Mathematics, B.N.M.I.T., Bangalore, 20-22 January 2010.

4. One day seminar on Challenges in Current Mathematics Research, Conducted by National Institute of Technology, Warangal, on 22nd October, 2010.

5. XIX congress of Andhra Pradesh Society for Mathematical Sciences, Jyothishmanthi Institute of Technology and Science, Karimnagar, 12-14 November 2010.

6. 55th Congress of Indian Society of Theoretical and Applied Mechanics (An International Meet), National Institute of Technology, Hamirpur, 18 - 21 December 2010.

7. National workshop on Advanced Computational Applications using ANSYS Fluent, NIT Warangal, on 7th January 2011.

8. Short Term Training Program on Mathematical Modeling and Numerical Techniques, National Institute of Technology, Warangal, 17 - 21 January 2011.

9. XX congress of Andhra Pradesh Society for Mathematical Sciences, Swarna Bhabathi Institute of Science & Technology (SBIT), Khammam, 9-11 December 2011.

10. 56th Congress of Indian Society of Theoretical and Applied Mechanics (An International Meet) , National Institute of Technology, Surat , Gujrat, 19 - 21 December 2011.

11. Conference on New Vistas in Computational Fluid Dynamics in Engineering, NIT Warangal, 27-29 January 2012.

12. 57th Congress of ISTAM, D.I.A.T, Pune , 17-20 December 2012.

13. AICTE recognised Short Term Course on Faculty Induction Training Phase-I conducted by NITTTR, Bhopal in N.I.T Raipur, 02-13 June 2014.

14. 59th Congress of ISTAM, Alliance University, Bangalore, 17-20 December 2014.

15. STTP on Advanced Computational Methods in Engineering & Science, NIT Warangal, 1-3 April 2015.

16. GIAN on Spectral Methods for Engineering & Scientific Computing Applications, IIT Bhubaneswar, 5-16 June 2017.

17. National Conference on Recent Advances in Mathematics and its Application, NIT Rourkela, 7-8 December 2018.

18. National Conference on Computational Modeling of Fluid Dynamics Problems, NIT Warangal, 18-20 January 2019.

19. International Conference on Differential Equations and Control Problems: Modeling, Analysis and Computations organized by IIT Mandi during June 17-19, 2019.

20. 1st International Conference on Applied Mathematics in Science and Engineering, SOA University, Bhubanewar, Odisha, 24-26 October 2019.

21. e-colloquium on Recent Advancements in Fluid Flow and Heat Transfer, IIT Roorkee, 19-25 October 2020.

22. Matrix Analysis using Python, IIT Hyderabad, November 3-8, 2020.