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1. NATIONAL INSTITUTE OF TECHNOLOGY ARUNACHAL PRADESH PRESENTED BY : DEEP CHADER (ME/ 20 /04) UNDER SUPERVISION OF: Prof. Dr. RAM PRAKASH SHARMA, PROFESSOR (DEPARTMENT OF MECHANICAL ENGINEERING) Heat transfer simulation of radiative viscoelastic fluid flow between parallel plates with exponential heat source. Project phase-2 and dissertation ME - 492

2. Introduction Literature Review Objective Methodology Mathematical Formulation Results and discussion Future scope Reference CONTENTS

3. MHD (Magneto Hydrodynamic): MHD is the analysis of the magnetic parameter and nature of electric induce fluids The main idea of magneto hydrodynamic is that magnetic area can conduct current in a flexible induce area. MHD is the energy transformation technique in which heat energy is utilized to change electrical energy Research Interest : Significant attention from researchers due to nanoparticles' success in thermal transportation. Widely studied for various applications, including medical field e.g., cancer treatment, evaporators, and air conditioning . Types of Nanofluids : Nanofluid formed by combining nanoparticles with a base fluid. Mono nanofluid: Base fluid combined with a single type of nanoparticle. Hybrid nanofluid: Base fluid mixed with two or more types of nanoparticles . INTRODUCTION

4. QUADRATIC THERMAL RADIATION : Quadratic thermal radiation is described by the Stefan-Boltzmann law. This law establishes a relationship between the power of heat radiation emitted by a body and its temperature. It states that the power of radiation is proportional to the fourth power of the temperature. EXPONENTIAL HEAT SOURCE : Exponential heat generation refers to a thermal source operation where the number of thermal sources is dependent on an exponential mechanism of time. In this process, the rate of heat generation increases exponentially over time, leading to a rapid rise in thermal energy production.

5. LITERATURE REVIEW . Sr. PAPER TITLE AUTHOR KEY FINDINGS 1. Unsteady non linear thermal convection flow of MWCNT-MgO/EG hybrid nanofluid in the stagnation-point region of a rotating sphere with quadratic thermal radiation. Puneet Rana, Saloni Gupta, Gaurav Gupta. (2016) Examined the quadratic density and temperature variation of hybrid nanofluid flow together with quadratic radiation over spinning sphere. 2. Thermal analysis of melting effect on Carreau fluid flow around a stretchable cylinder with quadratic radiation. Lim Yeou Jianna, Ahmad Qushairi Mohamada, Noraihan Afiqah Rawia. (2018) To analyze the melting effect of Carreau fluid flow over flexible cylinder with the help of quadratic thermal radiation which is given exceptional consideration.

6. Sr. PAPER TITLE AUTHOR KEY FINDINGS 3. Nonlinear thermally radiative heat transport for brinkman types micropolar nano-material over an inclined surface with motile microorganisms and exponential heat source. Ying-Qing Song, Hassan Waqas, Shan Ali Khan. (2019) To distinguish the attribute of Arrhenius activation energy and non-linear radiation over flexible surface with considering temperature exponential heat source. 4 Nanoparticle aggregation effect on nonlinear convective nanofluid flow over a stretched surface with linear and exponential heat source/sink. Sawan Kumar Rawat, Moh Yaseen, Anum Shafiq. (2019) Non-linear convection is analysis with including quadratic thermal radiation and exponential heat source of nano fluid over flexible surface.

7. Sr. PAPER TITLE AUTHOR KEY FINDINGS 5 Radiative MHD flow of hybrid nanofluid over permeable moving plate with Joule heating and thermal slip effects. Sakinah Idris, Anuar Jamaludin, Roslinda Nazar. (2020) The effect of pertinent attribute flow of hybrid nanofluid through porous surface with impact of thermal slip and thermal radiation. 6 Velocity and thermal slip impact towards GO-MoS2/C3H8O3 hybridity nanofluid flowing via a moving Riga plate Nur Aisyah Aminuddin, Nor Ain Azeany Mohd Nasir, Wasim Jamshed. (2023) Investigation describes the non-Newtonian hybrid nanofluid flow over compress Riga plate with consideration the impact of thermal slip.

8. Investigate heat transfer characteristics in a system. Focus on radiative viscoelastic fluid flow between parallel plates with an exponential heat source. Analyze how viscoelastic properties of the fluid affect heat transfer. Consider radiative heat transfer mechanisms. OBJECTIVE

9. METHODOLOGY MATHEMATICAL FORMULATION GOVERNING EQUATION SOLVING PDE’s TO ODE’s USING SIMILARITY TRANSFORMATION. USING SHOOTING BASED RUNGE KUTTA 4 TH ORDER METHOD TO SOLVE THE ODE’s MATLAB SOFTWARE The solution is then used in bvp4c software to plot for graphical analysis.

10. PROBLEM FORMULATION Physical features Methanol MgO TiO 2 THERMOPHYSICAL PROPERTIES: Fig.1 Fig.2 flow geometry

11. Momentum equation: Magnetic parameter Viscous diffusor term Viscoelastic parameter Pressure gradient term MATHEMATICAL FORMULATION Continuity equation:

12. W ith imposed boundary constraints are: at Energy equation: as Radiation term Thermal diffusor term Exponential term

13. Following are similarities transformation : Modified boundary conditions are below :

14. Converted equation are as follows:

15. Following are dimensionless parameters:

16. Fig.3 Fig.4 Fig.3 Variation on temperature. Fig.4 Variation on velocity. The diagram shows that when nanoparticles increases then temperature of nanofluid increases. The diagram shows that when nanoparticles increases then velocity decreases.. RESULTS

17. Fig.5 Fig.6 Above diagrams shows that when magnetic is increases the velocity will decreases due to Lorentz force which is resistive force. Fig.4 Variation on temperature due to magnetic. Fig.5 Variation on velocity due to magnetic. Above diagrams shows that when magnetic is increases the temperature will increases due to Lorentz force which is resistive force.

18. Fig.7 Fig.8 Shows that when heat source is increases then temperature is increases due to energy generation. Shows that when quadratic thermal radiation increases the velocity of fluid will increases due to energy generation. Fig.7 Variation on temperature due to heat source. Fig.8 Variation on temperature due to quadratic thermal radiation.

19. CONCLUSION When nanoparticles is increases velocity decreases and temperature increases. If Magnetic is enhance then velocity of fluid is decreases and temperature is increases. Temperature of fluid is increases due to impact of heat source. Quadratic thermal radiation is enlarge then temperature of fluid get increases.

20. Future scope Using different nanofluids In future different hybrid nanofluids and different base fluid can be used for better heat conduction. Using different plates ; In future different kind of plates or surface can be used for better analysis of hybrid nanofluids. Developing new computational model The future may focus on developing advance computational models for better simulate the complex problem in radiative viscoelastic fluid flow with exponential heat source and hybrid nanofluids.

21. References Puneet Rana, Saloni Gupta, Gaurav Gupta. Unsteady nonlinear thermal convection flow of MWCNT-MgO/EG hybrid nanofluid in the stagnation-point region of a rotating sphere with quadratic thermal radiation: RSM for optimization, International Communications in Heat and Mass Transfer 134 (2022) 106025. Lim Yeou Jianna, Ahmad Qushairi Mohamada, Noraihan Afiqah Rawia, Dennis Ling Chaun Chingb, Nor Athirah Mohd Zinc, Sharidan Shafie. Thermal analysis of melting effect on Carreau fluid flow around a stretchable cylinder with quadratic radiation. Propulsion and Power Research 2024;13(1):132e143. Ying-Qing Song, Hassan Waqas, Shan Ali Khan, Sami Ullah Khan, M. Ijaz Khan, Yu-Ming Chu, Sumaira Qayyum. Nonlinear thermally radiative heat transport for brinkman types micropolar nano-material over an inclined surface with motile microorganisms and exponential heat source. International Communications in Heat and Mass Transfer (2021). Sawan Kumar Rawat, Moh Yaseen, Anum Shafiq, Manoj Kumar, Qasem M. Al Mdallal. Nanoparticle aggregation effect on nonlinear convective nanofluid flow over a stretched surface with linear and exponential heat source/sink. International Journal of Thermo fluids (2023) 100355. Sakinah Idris, Anuar Jamaludin, Roslinda Nazar, Ioan Pop. Radiative MHD flow of hybrid nanofluid over permeable moving plate with Joule heating and thermal slip effects. Alexandria Engineering Journal 83 (2023) 222–233. Nur Aisyah Aminuddin, Nor Ain Azeany Mohd Nasir, Wasim Jamshed, Norli Abdullah, Anuar Ishak, Ioan Pop, Mohamed R. Eid. Velocity and thermal slip impact towards GO-MoS2/C3H8O3 hybridity nanofluid flowing via a moving Riga plate. Ain Shams Engineering Journal 15 (2024) 102648. Walid Aich, Adnan, Ghulfam Sarfraz, Nejla Mahjoub Said, Muhammad Bilal, Ahmed Faisal Ahmed Elhag, Ahmed M. Hassan. Significance of radiated ternary nanofluid for thermal transport in stagnation point flow using thermal slip and dissipation function. Case Studies in Thermal Engineering 51 (2023) 103631.

22. 22 ACKNOWLEDGEMENT I express my sincere thanks and heartful gratitude to our supervisor Prof. Dr. R P Sharma sir and to our CHANDRALEKHA ma'am (PhD) scholar for their constant guidance and valuable support. Also I thank all the teaching and non teaching staff of Mechanical Dept. NIT JOTE for their kind support whenever possible.

23. THANKYOU