Dr. Ram Prakash Bharti

## Areas of Interest

- Computational Fluid Dynamics (CFD): , Convective Hydrodynamics of Non-Newtonian Fluids and Bluff Bodies Flows, Microfluidics:, Electrokinetic flow in microchannels, Experiments:, Flow visualization and characterization using PIV, Complex fluid rheological measurements, Development of Computational Complex Flow Solvers:, FVM, FEM, LBM and Meshless methods

## Professional Background

From | Period | Position | Organisation |
---|---|---|---|

2016-01-01 | Ongoing | Associate Professor | IIT Roorkee (India) |

2009-01-01 | 7 years | Assistant Professor | IIT Roorkee (India) |

2007-01-01 | 2 years | Post Doctoral Research Fellow | University of Melbourne (Australia) |

2007-01-01 | 2 months 30 days | Senior Project Associate | IIT Kanpur (India) |

## Multiple Posts

From | Period | Position | Organisation |
---|---|---|---|

2019-01-01 | Ongoing | Member, Institute AC Committee | Estate and Works, IIT Roorkee |

2018-01-01 | 2 years | Member, Department Purchase Committee (DPC) | Chemical Engineering at IIT Roorkee |

2018-01-01 | 2 years | Convener, Departmental Faculty Search Committee (DFSC) | Chemical Engineering, IIT Roorkee |

2017-01-01 | 3 years | Member, Advisory Committee | Institute Computer Centre (ICC), IIT Roorkee |

2017-01-01 | 1 year | Chief Warden, Rajendra Bhawan (June 01, 2017 - June 30, 2018) | DoSW, IIT Roorkee |

2017-01-01 | 1 year | Central Purchase Officer (CPO), Coordinating Committee of Bhawans | DoSW, IIT Roorkee |

2016-01-01 | 2 years | Returning Officer, SAC Election | DoSW, IIT Roorkee |

2017-01-01 | Member, Technical Committee for E-mail system | Institute Computer Centre, IIT Roorkee | |

2016-01-01 | Faculty Advisor, SC/ST Students | IIT Roorkee | |

2016-01-01 | Coordinator, Academic Reinforcement Program (ARP) | DoSW, IIT Roorkee | |

2015-01-01 | 4 years | O.C. (Examinations) | Chemical Engineering, IIT Roorkee |

2014-01-01 | Ongoing | O.C. (Website and E-mail) | Chemical Engineering, IIT Roorke |

2014-01-01 | 5 years | O.C. (CAD Centre) | Chemical Engineering, IIT Roorkee |

2014-01-01 | 4 years | Faculty Advisor (Ist Yr, B.Tech. Chemical Engineering) | IIT Roorkee |

2014-01-01 | 3 years | Warden, Rajendra Bhawan | DoSW, IIT Roorkee |

2014-01-01 | 2 years | Presiding Office, SAC Election | DoSW, IIT Roorkee |

2012-01-01 | 2 years | Manager - Task Force (Master Planning of Campuses) | IIT Roorkee |

## Educational Details

Degree | Subject | University | Year |
---|---|---|---|

Ph.D. | Chemical Engineering | IIT Kanpur (India) | 2006 |

M.Tech. | Chemical Engineering | IIT Bombay (India) | 2002 |

B.Tech. | Chemical Engineering | SLIET Longowal (India) | 2000 |

## Sponsored Research Projects

Topic | Funding Agency | Start Date | Period |
---|---|---|---|

Electroviscous effects in multilayer complex fluids flow through a microfluidic device | DST - SERB | 2020-01 | Ongoing |

Development of highly selective and low cost polymer electrolyte membranes for microbial fuel cell | DST - SERB (NPDF file no. PDF/2016/001581, Dr. Piyush Kumar) | 2017-01 | 3 years 6 months |

Bluff body hydrodynamics of non-Newtonian fluids | SRIC, IIT Roorkee | 2010-01 | 10 years 6 months |

Opinions on phosphorus pentachloride (PCl5) manufacturing process | Pharma Chemicals Industries (PCI), Gujrat | 2010-01 | 10 years 6 months |

## Memberships

- Institution of Engineers (India), Chartered Engineer (India) (#M-1551617)
- Indian Institue of Chemical Engineers (IIChE), Life Member (#LM-49655)
- Institution of Engineers (India), MIE (#M-1551617)
- SLIET Alumni Association (SAA) Longowal, Member, Executive Committee (2017 - Present)
- International Association of Engineers (IAENG), Member (#105527)
- IAENG Society of Scientific Computing, Member
- IAENG Society of Chemical Engineering, Member

## Invitations

Topic | Organistaion | Date |
---|---|---|

Non-Newtonian flow around circular cylinders | National Chemical Laboratory (NCL) Pune, India | 2006-01 |

## Courses or Conferences Organised

Conference Name | Sponsored By | Date |
---|---|---|

Convener, 12th International Conference on Complex Fluids and Soft Matter (COMPFLU-2018) | IOCL, Anton-Parr India Pvt Ltd, PSE UK, ACS and RSC | 2020-07 |

Convener, Indo-US Workshop on Soft Matter (IUWSM - 2018) | IUSSTF | 2020-07 |

Joint Organizing Secretary, International Conference on Advances in Chemical Engineering (ACE 2013) | Tata Chemicals, IOCL, and many more | 2020-07 |

## Special Lectures Delivered

Title | Place | Date |
---|---|---|

Electrokinetics in microchannel flow | Thapar University, Patiala | 2020-07 |

Introduction to Meso-scale Modeling: Lattice Boltzmann Method (LBM) | IIT Roorkee | 2020-07 |

## National International Collaboration

Topic | Organisation |
---|---|

Deforming-Spatial-Domain/Stabilized Space-Time (DSD/SST) method in computation of non-Newtonian fluid flow and heat transfer with moving boundaries. | Vanderbilt University, Nashville, USA; Beijing Institute of Technology, Beijing, China |

## Supervision - (a) Post-Doctoral Research

** Post-Doctoral Researchers**

1. | Dr. Piyush Kumar (Feb 2017 - Jan 2018) NPDF (National Post-Doctoral Fellow), Science and Engineering Research Board (SERB) Development of highly selective and low cost polymer electrolyte membranes (PEM) for microbial fuel cell |

## Supervision - (b) Doctoral (Ph.D.) Research

** Doctoral (Ph.D.)** [Awarded: 04; On-going: 05]

9. | Pratibha Dogra (On-going). Hydrodynamics of complex fluids in microfluidic systems. A2020, IIT Roorkee |

8. | Vinay Mohania (On-going). Rheological studies of complex fluids. A2019, IIT Roorkee |

7. | Lekhraj Malviya (On-going). Non-Newtonian fluid flow and heat transfer from freely rotating cylinders and spheres. S2018, IIT Roorkee |

6. | Jitendra Dhakar (On-going). Electroviscous effects in non-Newtonian fluid flow through microchannels. S2017, IIT Roorkee |

5. | Akepogu Venkateshwarlu (On-going). Hydrodynamics of droplets generation in two-phase flow through T-junction microfluidic device. S2015, IIT Roorkee |

4. | Abhishek Kumar Lal (Feb 2020). Mixed convection in non-Newtonian fluid flow over a rotating circular cylinder. A2013, IIT Roorkee |

3. | Vijay Kumar Verma (Apr 2018). The development of meshless local Petrov Galerkin (MLPG) method for complex fluid flow simulation. S2010, IIT Roorkee |

2. | Ram Pravesh Ram (Jan 2018). Periodic flow of non-Newtonian fluids across an array of cylinders. A2012, IIT Roorkee (Co-supervisor: Prof. Amit Kumar Dhiman, IIT Roorkee) |

1. | Krunal Madhukar Gangawane (Apr 2015). Convective flow and heat transfer analysis by using thermal lattice Boltzmann method. A2010, IIT Roorkee (Co-supervisor: Prof. Surendra Kumar, IIT Roorkee) |

## Supervision - (c) Post-Graduate (M.Tech.) Research

** Master's (M.Tech.)** [Awarded: 24; On-going: 00]

24. | Pradeep Dhondi (2021). Droplet dynamics in non-Newtonian fluid flow through microchannels. IIT Roorkee |

23. | Lalit Singh Mehra (2019). Hydrodynamics of channel confined rotating circular cylinder submerged in non-Newtonian media. IIT Roorkee |

22. | S. Abu Saif (2018). CFD analysis of opposing buoyancy mixed convection heat transfer from a confined circular cylinder in non-Newtonian power-law fluids. IIT Roorkee |

21. | Sanjay Ram (2018). CFD analysis of aiding buoyancy mixed convection in non-Newtonian fluids flow over a channel confined circular cylinder. IIT Roorkee |

20. | S. Aman Kumar (2017). Non-Newtonian fluid flow and heat transfer from a cylinder confined in corrugated channel. IIT Roorkee |

19. | Ashok Paliwal (2017). Non-Newtonian fluid flow and heat transfer from a cylinder confined in irregular channel. IIT Roorkee |

18. | Venkataraman N.V. (2015). Preliminary investigation and simulation of fibre Bragg grating (FBG) cryogenic flowmeters. IIT Roorkee (Co-supervisor: Dr. Rajinikumar Ramalingam, Institute for Technical Physics (ITEP), Karlsruhe Institute of Technology (KIT), Germany) |

17. | Garima Vishal (2015). Critical Parameters for shear thickening fluid flow across a channel confined circular cylinder. IIT Roorkee |

16. | Jyoti Tomar (2015). Characterization of flow regimes for shear-thinning fluid flow across a channel confined circular cylinder. IIT Roorkee |

15. | Shikha Verma (2014). Electroviscous effects in shear flow of power-law fluid through a microchannel (partial supervison). IIT Roorkee |

14. | Vipin Kumar Sachan (2014). Mixed convection heat transfer in confined flow of power-law fluid across a pair of tandem circular cylinders. IIT Roorkee |

13. | Toshi Gupta (2013). Effect of opposing buoyancy in confined flow of power-law fluids across a circular cylinder. IIT Roorkee |

12. | Sharad Tiwari (2013). Convective flow of power-law fluids across a pair of tandem circular cylinder in confined arrangement. IIT Roorkee |

11. | Aarti Kain (2013). Effect of aiding buoyancy in confined flow of power-law fluid across a circular cylinder. IIT Roorkee |

10. | Vipin M. Rokade (2012). Effect of opposing buoyancy on convective heat transfer from a cylinder to power-law fluids. IIT Roorkee |

9. | Mayank Agarwal (2012). Mixed convection heat transfer in Poiseuille flow of power-law fluids across a cylinder. IIT Roorkee |

8. | Pratik Dilip Kakkar (2012). Mixed convection heat transfer in unconfined flow of power-law fluids across a cylinder: effect of temperature and shear-dependent viscosity. IIT Roorkee |

7. | Manish Bhatia (2011). Steady flow of non-Newtonian fluids across an array of circular cylinders. IIT Roorkee |

6. | Bhaskar Thota (2011). Finite difference solution of electrokinetic flow through microchannel. IIT Roorkee |

5. | P. Ramulu Rathod (2011). Finite difference solution of electrokinetic flow through microfluidic pipe. IIT Roorkee |

4. | Vijaya Kumar Patnana (2008). Momentum and heat transfer from a cylinder to power-law fluids in the unsteady flow regime. IIT Kanpur (Supervisor: Prof. R.P. Chhabra, IIT Kanpur) |

3. | Avadhani Tangirala Srinivas (2008). Mixed convection from a circular cylinder to power-law liquid. IIT Kanpur (Supervisor: Prof. R.P. Chhabra, IIT Kanpur) |

2. | Rahul C. Patil (2007). Flow over two circular cylinders in tandem configuration: drag and heat transfer. IIT Kanpur (Supervisor: Prof. R.P. Chhabra, IIT Kanpur) |

1. | Pitchaiah Sivakumar (2006). Flow past circular and elliptical cylinders: a numerical study. IIT Kanpur (Supervisor: Prof. R.P. Chhabra, IIT Kanpur) |

## Publications - (a) Researcher Profiles

** Researcher Profiles **

Google Scholar | Research Gate | Researcher ID | Scopus | ORCID |

## Publications - (b) Books

** Books **

1. | R.P. Bharti and K.M. Gangawane (Editors). Recent Trends in Fluid Dynamics Research, 1st edition. In F. Cavas-Martínez, F. Chaari, F. di Mare, F. Gherardini, M. Haddar, V. Ivanov, Y.W. Kwon, J. Trojanowska (Series Editors), Lecture Notes in Mechanical Engineering (LNME) book series (ISSN: 2195-4356), Volume xxx. ISBN: 978-981-16-6928-6. Pages 190 (2022). Springer Singapore. DOI: 10.1007/978-981-16-6928-6 |

## Publications - (c) Book Chapters

** Book Chapters **

4. | A.K. Lal, R.P. Bharti, D. Panda. Finite difference method for chocolate crystallization. In: K.M. Gangawane and M. Dwivedi (Eds.), Advanced Computational Techniques for Heat and Mass Transfer in Food Processing, 1st edition, Chapter 2 (2022). CRC Press. ISBN: 9780367747824 |

3. | P. Kumar, R.P. Bharti, V. Kumar and P.P. Kundu. Polymer electrolyte membranes for microbial fuel cells: Part A. Nafion-based membranes. In: P.P. Kundu and K. Dutta (Eds.), Progress and Recent Trends in Microbial Fuel Cells, 1st edition, Chapter 4, pp. 47-72 (2018). Elsevier. DOI: 10.1016/B978-0-444-64017-8.00004-X |

2. | V.N. Venkatesan, K.-P. Weiss, R.P. Bharti, H. Neumann and R. Ramalingam. Strain calibration of substrate-free FBG sensors at cryogenic temperature, In: Mandler B. et al. (Eds.), Internet of Things. IoT Infrastructures. IoT360 2015. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering (LNICST) book series, Volume 170. Chapter 24, pp. 191-202 (2016). Springer, Cham. DOI: 10.1007/978-3-319-47075-7_24 |

1. | P. Sivakumar, R.P. Bharti and R.P. Chhabra. Steady power-law flow over a circular cylinder, In: S.K. Dwivedy and D. Maity (Eds.), Recent Advances in Computational Mechanics and Simulations, Volume II, 1st edition. pp. 1254-1260 (2007). IK International Publishing House Pvt. Ltd. New Delhi. ISBN: 9788189866167 |

## Publications - (d) Journal Papers

** In Refereed International Journals ** [*author for correspondence]

38. | A. Venkateshwarlu, and R.P. Bharti.* Effects of capillary number and flow rates on the hydrodynamics of droplet generation in two-phase cross-flow microfluidic systems. Journal of the Taiwan Institute of Chemical Engineers in press (2021). DOI: 10.1016/j.jtice.2021.07.045 | arXiv preprint: arXiv:2105.10308 |

37. | R. Kumar, A.K. Lal, R.P. Bharti,* and V. Pancholi. Experimental and computational analysis of material flow characteristics in friction stir welding. International Journal of Advanced Manufacturing Technology 115 (9-10), 3011 - 3020 (2021). DOI: 10.1007/s00170-021-07345-3 |

36. | G. Vishal, J. Tomar, and R.P. Bharti.* Critical parameters for non-Newtonian shear-thickening power-law fluids flow across a channel confined circular cylinder. Journal of the Taiwan Institute of Chemical Engineers 123, 34 - 46 (2021). DOI: 10.1016/j.jtice.2021.05.025 | arXiv preprint: arXiv:1901.07362 |

35. | P. Kumar, and R.P. Bharti.* Nanocomposite polymer electrolyte membrane for high performance microbial fuel cell: synthesis, characterization and application. Journal of Electrochemical Society 166 (15), F1190 - F1199 (2019). DOI: 10.1149/2.0671915jes |

34. | R. Pravesh,* A. Dhiman and R.P. Bharti. Non-Newtonian power-law fluid's thermal characteristics across periodic array of circular cylinders. Journal of Brazilian Society of Mechanical Sciences and Engineering 41 (2), 88 (20 pages) (2019). DOI: 10.1007/s40430-019-1584-3 |

33. | R. Pravesh,* A. Dhiman and R.P. Bharti. Aiding buoyancy mixed convection flow and thermal features across a periodic array of heated cylinders. International Journal of Heat and Mass Transfer 130, 1141 - 1162 (2019). DOI: 10.1016/j.ijheatmasstransfer.2018.11.035 |

32. | A. Bhattacharyya, F. Nasim, R. Mishra, R.P. Bharti, and P.P. Kundu.* Polyurethane incorporated Chitosan/alginate core-shell nanoparticles for controlled oral insulin delivery. Journal of Applied Polymer Science 135 (26), 46365 (15 pages) (2018) DOI: 10.1002/app.46365 |

31. | R. Kumar, V. Pancholi,* and R.P. Bharti. Material flow visualization and determination of strain rate during friction stir welding. Journal of Material Processing Technology 255, 470 - 476 (2018). DOI: 10.1016/j.jmatprotec.2017.12.034 |

30. | K.M. Gangawane, and R.P. Bharti.* Computational analysis of MHD natural convection in partially-differentially heated cavity: effect of cooler size. IMechE, Part C: Journal of Mechanical Engineering Science 232 (3), 515 - 528 (2018). DOI: 10.1177/0954406217752745( Invited article for a special issue on the Lattice Boltzmann Method and its Applications in Complex Flows and Fluid-Structure Interactions) |

29. | R.P. Ram, R.P. Bharti,* and A.K. Dhiman. Forced convection flow and heat transfer across an in-line bank of circular cylinders. Canadian Journal of Chemical Engineering 94 (7), 1381 - 1395 (2016). DOI: 10.1002/cjce.22483 |

28. | K.M. Gangawane, R.P. Bharti,* and S. Kumar. Effects of heating location and size on natural convection in partially heated open ended enclosure by using lattice Boltzmann method. Heat Transfer Engineering 37 (6), 507 - 522 (2016). DOI: 10.1080/01457632.2015.1060748 |

27. | K.M. Gangawane, R.P. Bharti,* and S. Kumar. Lattice Boltzmann analysis of effect of heating location and Rayleigh number on natural convection in partially heated open ended cavity. Korean Journal of Chemical Engineering 32 (8), 1498 - 1514 (2015). DOI: 10.1007/s11814-014-0361-3 |

26. | K.M. Gangawane, R.P. Bharti,* and S. Kumar. Lattice Boltzmann analysis of natural convection in a partially heated open ended enclosure for different fluids. Journal of the Taiwan Institute of Chemical Engineers 49, 27 - 39 (2015). DOI: 10.1016/j.jtice.2014.11.020 |

25. | K.M. Gangawane, R.P. Bharti,* and S. Kumar. Two dimensional lattice Boltzmann simulation of natural convection in differentially heated square cavity: Effect of Prandtl and Rayleigh numbers. Canadian Journal of Chemical Engineering 93 (4), 766 - 780 (2015). DOI: 10.1002/cjce.22161 |

24. | F.-B. Tian,,* R.P. Bharti, and Y.-Q. Xu. Deforming-Spatial-Domain/Stabilized Space-Time (DSD/SST) method in computation of non-Newtonian fluid flow and heat transfer with moving boundaries. Computational Mechanics 53 (2), 257 - 271 (2014). DOI: 10.1007/s00466-013-0905-0 (Selected and highlighted as Featured Article in Advances in Engineering, under the section of Mechnical Engineering on April 13, 2014) |

23. | A. Kumar, A.K. Dhiman,* and R.P. Bharti. Power-law flow and heat transfer over an inclined square bluff body: effect of blockage ratio. Heat Transfer - Asian Research 43 (2), 167 - 196 (2014) DOI: 10.1002/htj.21071 |

22. | J.D. Berry, M.R. Davidson,* R.P. Bharti, and D.J.E. Harvie. Effect of wall permittivity on electroviscous flow through a contraction. Biomicrofluidics 5 (4), 044102 (17 pages) (2011). DOI: 10.1063/1.3645194 |

21. | M.R. Davidson,* R.P. Bharti, and D.J.E. Harvie. Electroviscous effects in a Carreau liquid flowing through a cylindrical microfluidic contraction. Chemical Engineering Science 65 (23) 6259 - 6269 (2010). DOI: 10.1016/j.ces.2010.09.011 |

20. | V.K. Patnana, R.P. Bharti, and R.P. Chhabra.* Two dimensional unsteady forced convection heat transfer in power-law fluids from a heated cylinder. International Journal of Heat and Mass Transfer 53 (19-20) 4152 - 4167 (2010). DOI: 10.1016/j.ijheatmasstransfer.2010.05.038 |

19. | A.T. Srinivas, R.P. Bharti, and R.P. Chhabra.* Mixed convection heat transfer from a cylinder in power-law fluids: effect of aiding buoyancy. Industrial & Engineering Chemistry Research 48 (21) 9735 - 9754 (2009). DOI: 10.1021/ie801892m ( Invited article for a special issue in the Honour of Dr. B.D. Kulkarni) |

18. | V.K. Patnana, R.P. Bharti, and R.P. Chhabra.* Two dimensional unsteady flow of power-law fluids over a cylinder. Chemical Engineering Science 64 (12) 2978 - 2999 (2009). DOI: 10.1016/j.ces.2009.03.029 |

17. | R.P. Bharti, D.J.E. Harvie, and M.R. Davidson.* Electroviscous effects in steady fully developed flow of power-law liquid through a cylindrical microchannel. International Journal of Heat and Fluid Flow 30 (4) 804 - 811 (2009). DOI: 10.1016/j.ijheatfluidflow.2009.01.012 |

16. | M.R. Davidson,* R.P. Bharti, P. Liovic, and D.J.E. Harvie. Electroviscous effects in low Reynolds number flow through a microfluidic contraction with rectangular cross-section. International Journal of Chemical and Molecular Engineering 2 (4) 40 - 44 (2008). DOI: 10.5281/zenodo.1071828 |

15. | M.R. Davidson,* R.P. Bharti, P. Liovic, and D.J.E. Harvie. Electroviscous effects in low Reynolds number flow through a microfluidic contraction with rectangular cross-section. Proceedings of World Academy of Science, Engineering and Technology 30, article no. 44, pp. 256 - 260 (2008). DOI: https://publications.waset.org/vol/16 |

14. | R.P. Bharti, D.J.E. Harvie, and M.R. Davidson.* Fully developed flow of power-law fluid through a cylindrical microfluidic pipe: pressure drop and electroviscous effects. 2008 Proceedings of the ASME Fluids Engineering Division Summer Conference (FEDSM 2008) Volume 1: Symposia (Parts A and B), pp. 223 - 232 (2008). DOI: 10.1115/FEDSM2008-55128 |

13. | R.C. Patil, R.P. Bharti, and R.P. Chhabra.* Forced convection in cross flow of power law fluids over a pair of circular cylinder in tandem arrangement. 2008 Proceedings of the ASME Fluids Engineering Division Summer Conference (FEDSM 2008) Volume 1: Symposia (Parts A and B), pp. 207 - 215 (2008). DOI: 10.1115/FEDSM2008-55066 |

12. | R.C. Patil, R.P. Bharti, and and R.P. Chhabra.* Forced convection heat transfer in power-law liquids from a pair of cylinders in tandem arrangement. Industrial & Engineering Chemistry Research 47 (23), 9141 - 9164 (2021). DOI: 10.1021/ie7017178 |

11. | R.P. Bharti, D.J.E. Harvie and M.R. Davidson.* Steady flow of ionic liquid through a cylindrical microfluidic contraction-expansion pipe: Electroviscous effects and pressure drop. Chemical Engineering Science 63 (14), 3593 - 3604 (2008). DOI: 10.1016/j.ces.2008.04.029 |

10. | R.C. Patil, R.P. Bharti, and R.P. Chhabra.* Steady flow of power-law liquids over a pair of cylinders in tandem arrangement. Industrial & Engineering Chemistry Research 47 (5), 1660 - 1683 (2008). DOI: 10.1021/ie070854t |

9. | R.P. Bharti, P. Sivakumar, and R.P. Chhabra.* Forced convection heat transfer from an elliptic cylinder to power-law fluids. International Journal of Heat and Mass Transfer 51 (7-8), 1838 - 1853 (2008). DOI: 10.1016/j.ijheatmasstransfer.2007.06.032 |

8. | R.P. Bharti, R.P. Chhabra,* and V. Eswaran. Effect of blockage on heat transfer from a cylinder to power-law liquids. Chemical Engineering Science 62 (7), 4729 - 4741 (2007). DOI: 10.1016/j.ces.2007.06.002 |

7. | R.P. Bharti, R.P. Chhabra,* and V. Eswaran. Two-dimensional steady Poiseuille flow of power-law fluids across a circular cylinder in a plane confined channel: wall effects and drag coefficient. Industrial & Engineering Chemistry Research 46 (11), 3820 - 3840 (2007). DOI: 10.1021/ie070166+ |

6. | P. Sivakumar, R.P. Bharti, and R.P. Chhabra.* Steady flow of power-law fluids across an unconfined elliptic cylinder. Chemical Engineering Science 62 (6), 1682 - 1702 (2007). DOI: 10.1016/j.ces.2006.11.055 |

5. | R.P. Bharti, R.P. Chhabra,* and V. Eswaran. Steady forced convection heat transfer from a heated circular cylinder to power-law fluids. International Journal of Heat and Mass Transfer 50 (5-6), 977 - 990 (2007). DOI: 10.1016/j.ijheatmasstransfer.2006.08.008 |

4. | R.P. Bharti, R.P. Chhabra,* and V. Eswaran. A numerical study of the steady forced convection heat transfer from an unconfined circular cylinder. Heat and Mass Transfer 43 (7), 639 - 648 (2007). DOI: 10.1007/s00231-006-0155-1 |

3. | P. Sivakumar, R.P. Bharti, and R.P. Chhabra.* Effect of power-law index on critical parameters for power-law flow across an unconfined circular cylinder. Chemical Engineering Science 61 (18), 6035 - 6046 (2006). DOI: 10.1016/j.ces.2006.05.031 |

2. | R.P. Bharti, R.P. Chhabra,* and V. Eswaran. Steady flow of power-law fluids across a circular cylinder Canadian Journal of Chemical Engineering 84(4), 406 - 421 (2006). DOI: 10.1002/cjce.5450840402 |

1. | N. Mangadoddy, Ram Prakash, and R.P. Chhabra*. Forced convection in cross flow of power law fluids over a tube bank. Chemical Engineering Science 59 (11), 2213 - 2222 (2004). DOI: 10.1016/j.ces.2004.01.054 |