Numerical Simulation of Surface Pressure and Temperature Distribution along a Cone at Supersonic Mach Numbers using CFD
DOI:
https://doi.org/10.37934/arnht.28.1.126Keywords:
Mach number, Supersonic flow, semi-cone angle, CFDAbstract
The primary focus of this study is to use numerical simulations to analyze the static temperature and surface pressure distribution along the slant length of a cone at different Mach numbers and a range of semi-cone angles. Computational fluid dynamics (CFD) analysis numerically simulates temperature and surface pressure distribution. This research considers parameters such as supersonic Mach numbers, semi-cone angles, and different locations along the slant length of a cone. The study examines Mach numbers of 1.5, 2.0, 2.5, 3.0, 3.5, 4.0, 4.5, and 5.0, along with cone angles ranging from 3° to 21°. The static temperature and pressure (P/Pa) results are measured at different locations (x/L) along the slant length of the cone, ranging from 0.1 to 1. The results for static temperature and pressure distribution obtained by CFD analysis are compared with results obtained by regression model at various Mach numbers and constant semi-cone angle (θ) = 12°. The results from the CFD analysis and the findings of the regression methodology are in agreement. This study found that the Mach number, semi-cone angle, and the various locations along the cone's slant length significantly impact the variation of static temperature and surface pressure distribution. As the Mach number and the semi-cone angle increase, the temperature and pressure distribution along the slant length of the cone also increase.
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References
Tsien, Hsue-shen. "Similarity laws of hypersonic flows." Collected Works of HS Tsien (1938-956) (1946): 443-447. https:// doi.org.10.1002/sapm1946251247 DOI: https://doi.org/10.1016/B978-0-12-398277-3.50022-1
Hayes, Wallace D. "On hypersonic similitude." Quarterly of Applied Mathematics 5, no. 1 (1947): 105-106. https://doi.org/10.1090/qam/ 20904 DOI: https://doi.org/10.1090/qam/20904
Sychev, V. V, "Three Dimensional Hypersonic Gas Flow Past Slender Bodies at High Angles of Attack." Journal of Applied Mathematics and Mechanics 24, no.2 (1960): 205-212. https://doi.org/10.1016/0021-8928(60)90033-2 DOI: https://doi.org/10.1016/0021-8928(60)90033-2
Pike. J, "The pressure on flat and anhydral delta wings with attached shock waves." The Aeronautical Quarterly 23, no.4 (1972): 253-262. https://doi.org/10.1017/S0001925900006156 DOI: https://doi.org/10.1017/S0001925900006156
Hui, Wai How. "Stability of oscillating wedges and caret wings in hypersonic and supersonic flows." AIAA Journal 7, no. 8 (1969): 1524-1530. https://doi.org/10.2514/3.5426 DOI: https://doi.org/10.2514/3.5426
Carrier, G. F. "The oscillating wedge in the supersonic stream." Journal of Aeronautical Sciences 16, no. 3 (1949): 150–152. https:// doi.org.10.2514/8.11755 DOI: https://doi.org/10.2514/8.11755
Hui, W. H. "Supersonic/hypersonic flow past on oscillating flat plate at high angles of attack." ZAMP 29, (1978): 414-427. https://doi.org/10.1007/BF01590763 DOI: https://doi.org/10.1007/BF01590763
Orlik-Ruckemann, K. J. "Dynamic stability testing of aircraft needs versus capabilities." Progress in the Aerospace Sciences, Academic press 16, (1975): 431-447. https://doi.org/10.1016/0376-0421(75)90005-6 DOI: https://doi.org/10.1016/0376-0421(75)90005-6
Liu, D. D., and W. H. Hui. "Oscillating delta wings with attached shock waves." AIAA Journal 15, no. 6 (1977): 804-812. https://doi.org/10.2514/3.7371 DOI: https://doi.org/10.2514/3.7371
Hui, W. H., Hemdan, H. T. "Unsteady hypersonic flow over delta wings with detached shock waves." American Institute of Aeronautics and Astronautics Journal 14, no. 4 (1976): 505–511. https://doi.org.10.2514/3.7120 DOI: https://doi.org/10.2514/3.7120
Lighthill, Mo J. "Oscillating airfoils at high Mach number." Journal of the Aeronautical Sciences 20, no. 6 (1953): 402-406. https://doi.org/10.2514/8.2657 DOI: https://doi.org/10.2514/8.2657
Ghosh, K. "A new similitude for aerofoils in hypersonic flow." In Proceedings of the 6th Canadian Congress of Applied Mechanics, Vancouver, Canada, May, pp. 685-686. 1977.
Miles, J. W. "Unsteady flow at hypersonic speeds, Hypersonic flow." Butter worths Scientific Publications, London (1960): 185-197.
Ghosh, Kunal, and Binoy Krishna Mistry. "Large incidence hypersonic similitude and oscillating nonplanar wedges." AIAA Journal 18, no. 8 (1980): 1004-1006. https://doi.org/10.2514/3.7702 DOI: https://doi.org/10.2514/3.7702
Ghosh, Kunal. "Hypersonic large-deflection similitude for quasi-wedges and quasi-cones." The Aeronautical Journal 88, no. 873 (1984): 70-76. https://doi.org/10.1017/S0001924000020236 DOI: https://doi.org/10.1017/S0001924000020236
Khan, Sher Afghan, Abdul Aabid, and C. Ahamed Saleel. "CFD simulation with analytical and theoretical validation of different flow parameters for the wedge at supersonic Mach number." International Journal of Mechanical and Mechatronics Engineering 1 (2019). https://www.researchgate.net/publication/331556786
Bashir, Musavir, S. A. Khan, Qummare Azam, and Ayub Ahmed Janvekar. "Computational and Analytical Investigation of Aerodynamic Derivatives of Similitude Delta Wing Model at Hypersonic Speeds." International Journal of Technology 8, no. 3 (2017). https://doi.org.10.14716/ijtech.v8i3.6319 DOI: https://doi.org/10.14716/ijtech.v8i3.6319
Kalimuthu, R., R. C. Mehta, and E. Rathakrishnan. "Measured aerodynamic coefficients of without and with spiked blunt body at Mach 6." Journal of the Korean Society of Propulsion Engineers 25, no. 1 (2019): 29-41. https://doi.org/10.12989/aas.2019.6.3.225
Pathan, Khizar A., Sher A. Khan, N. A. Shaikh, Arsalan A. Pathan, and Shahnawaz A. Khan. "An investigation of boattail helmet to reduce drag." Advances in Aircraft and Spacecraft Science 8, no. 3 (2021): 239. https://doi.org/10.12989/aas.2021.8.3.239
Shaikh Javed, Kumar Krishna, Pathan Khizar, and Khan Sher. "Analytical and computational analysis of pressure at the nose of a 2D wedge in high-speed flow." Advances in Aircraft and Spacecraft Science 9, no. 2 (2022): 119-130. https://doi.org/10.12989/aas.2022.9.2.119
Shaikh, Javed S., Krishna Kumar, Khizar A. Pathan, and Sher A. Khan. "Computational analysis of surface pressure distribution over a 2d wedge in the supersonic and hypersonic flow regimes." Fluid Dynamics & Materials Processing 19, no. 6 (2023). https://doi.org/10.32604/fdmp.2023.025113 DOI: https://doi.org/10.32604/fdmp.2023.025113
Shaikh, Javed Shoukat, Khizar Ahmed Pathan, Krishna Kumar, and Sher Afghan Khan. "Effectiveness of Cone Angle on Surface Pressure Distribution along Slant Length of a Cone at Hypersonic Mach Numbers." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 104, no. 1 (2023): 185-203. https://doi.org/10.37934/arfmts.104.1.185203 DOI: https://doi.org/10.37934/arfmts.104.1.185203
Azami, Muhammed Hanafi, Mohammed Faheem, Abdul Aabid, Imran Mokashi, and Sher Afghan Khan. "Experimental research of wall pressure distribution and effect of micro jet at Mach." International Journal of Recent Technology and Engineering 8, no. 2S3 (2019): 1000-1003. https://doi.org. 10.35940/ijrte.B1187.0782S319 DOI: https://doi.org/10.35940/ijrte.B1187.0782S319
Pathan, Khizar Ahmed, Prakash S. Dabeer, and Sher Afghan Khan. "Investigation of base pressure variations in internal and external suddenly expanded flows using CFD analysis." CFD Letters 11, no. 4 (2019): 32-40.
Khan, Sher Afghan, and E. Rathakrishnan. "Active control of base pressure in supersonic regime." Journal of Aerospace Engineering, Institution of Engineers, India 87 (2006): 1-8.
Pathan, Khizar, Prakash Dabeer, and Sher Khan. "An investigation of effect of control jets location and blowing pressure ratio to control base pressure in suddenly expanded flows." Journal of Thermal Engineering 6, no. 2 (2019): 15-23. https://doi.org/10.18186/thermal.726106 DOI: https://doi.org/10.18186/thermal.726106
Pathan, Khizar Ahmed, Syed Ashfaq, Prakash S. Dabeer, and Sher Afgan Khan. "Analysis of parameters affecting thrust and base pressure in suddenly expanded flow from nozzle." (2019).
Pathan, Khizar Ahmed, Prakash S. Dabeer, and Sher Afghan Khan. "Influence of expansion level on base pressure and reattachment length." CFD Letters 11, no. 5 (2019): 22-36.
Pathan, Khizar Ahmed, Prakash S. Dabeer, and Sher Afghan Khan. "Effect of nozzle pressure ratio and control jets location to control base pressure in suddenly expanded flows." Journal of Applied Fluid Mechanics 12, no. 4 (2019): 1127-1135. https://doi.org/10.29252/jafm.13.02.30049 DOI: https://doi.org/10.29252/jafm.12.04.29495
Pathan, Khizar Ahmed, Prakash S. Dabeer, and Sher Afghan Khan. "Enlarge duct length optimization for suddenly expanded flows." Advances in Aircraft Spacecraft and spacecraft Science 7, no. 3 (2020): 203–214. https://doi.org/10.12989/aas.2020.7.3.203
Pratibha V. Jadhav, Vaishali Patil, Sharad Gore. "A Comparative Study of Linear Regression and Regression Tree." 2nd International Conference on Communication and Information Processing (ICCIP-2020). https://dx.doi.org/10.2139/ssrn.3645883 DOI: https://doi.org/10.2139/ssrn.3645883
Pratibha V. Jadhav, Vaishali Patil, Sharad Gore. "Classification of Categorical Outcome Variable Based on Logistic Regression and Tree Algorithm." International Journal of Recent Technology and Engineering 8, no. 5 (2020): 4685-4690. https://dx.doi.org/10.35940/ijrte.E6844.018520 DOI: https://doi.org/10.35940/ijrte.E6844.018520
Aqilah, Nur, Khizar Ahmed Pathan, and Sher Afghan Khan. "Passive Control of Base Flow at Supersonic Mach Number for Area Ratio 4." In International Conference on Advances in heat Transfer and Fluid Dynamics, pp. 37-50. Singapore: Springer Nature Singapore, 2022. https://doi.org/10.1007/978-981-99-7213-5_4 DOI: https://doi.org/10.1007/978-981-99-7213-5_4
Fiqri, Muhammad Ikhwan, Khizar Ahmed Pathan, and Sher Afghan Khan. "Control of Suddenly Expanded Flow with Cavity at Sonic Mach Number." In International Conference on Advances in heat Transfer and Fluid Dynamics, pp. 3-15. Singapore: Springer Nature Singapore, 2022. https://doi.org/10.1007/978-981-99-7213-5_1 DOI: https://doi.org/10.1007/978-981-99-7213-5_1
Pathan, Khizar Ahmed, Zakir Ilahi Chaudhary, Ajaj Rashid Attar, Sher Afghan Khan, and Ambareen Khan. "Optimization of Nozzle Design for Weight Reduction using Variable Wall Thickness." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 112, no. 2 (2023): 86-101. https://doi.org/10.37934/arfmts.112.2.86101 DOI: https://doi.org/10.37934/arfmts.112.2.86101
Shaikh, Sohel Khalil, Khizar Ahmed Pathan, Zakir Ilahi Chaudhary, B. G. Marlpalle, and Sher Afghan Khan. "An investigation of three-way catalytic converter for various inlet cone angles using CFD." CFD Letters 12, no. 9 (2020): 76-90. https://doi.org/10.37934/cfdl.12.9.7690 DOI: https://doi.org/10.37934/cfdl.12.9.7690
Shaikh, Sohel Khalil, Khizar Ahmed Pathan, Zakir Ilahi Chaudhary, and Sher Afghan Khan. "CFD Analysis of an Automobile Catalytic Converter to Obtain Flow Uniformity and to Minimize Pressure Drop Across the Monolith." CFD Letters 12, no. 9 (2020): 116-128. https://doi.org/10.37934/cfdl.12.9.116128 DOI: https://doi.org/10.37934/cfdl.12.9.116128
Kumar, Pankaj, and Jiten C. Kalita. "A transformation-free ψ-v formulation of the Navier–Stokes equations on compact nonuniform grids." Journal of Computational and Applied Mathematics 353 (2019): 292-317. https://doi.org/10.1016/j.cam.2018.12.035 DOI: https://doi.org/10.1016/j.cam.2018.12.035
Kumar, Pankaj, and Jiten C. Kalita. "An efficient ψ‐v scheme for two‐dimensional laminar flow past bluff bodies on compact nonuniform grids." International Journal for Numerical Methods in Fluids 92, no. 12 (2020): 1723-1752. https://doi.org/10.1002/fld.4846 DOI: https://doi.org/10.1002/fld.4846
Kalita, Jiten C., and Pankaj Kumar. "Vortex dynamics of accelerated flow past a mounted wedge." Physics of Fluids 35, no. 12 (2023). https://doi.org/10.1063/5.0177161 DOI: https://doi.org/10.1063/5.0177161
Akbar, Noreen Sher, Javaria Akram, M. Fiaz Hussain, E. N. Maraj, and Taseer Muhammad. "Thermal storage study and enhancement of heat transfer through hybrid Jeffrey nanofluid flow in ducts under peristaltic motion with entropy generation." Thermal Science and Engineering Progress 49 (2024): 102463. https://doi.org/10.1016/j.tsep.2024.102463 DOI: https://doi.org/10.1016/j.tsep.2024.102463
Akbar, Noreen Sher, Tayyab Zamir, and Taseer Muhammad. "Levenberg-Marquardt technique analysis of thermal and concentration storage in cone-disk apparatus with neural network-enhancement." Thermal Science and Engineering Progress 50 (2024): 102529. https://doi.org/10.1016/j.tsep.2024.102529 DOI: https://doi.org/10.1016/j.tsep.2024.102529
Akbar, Noreen Sher, Tayyab Zamir, Javaria Akram, Tayyaba Noor, and Taseer Muhammad. "Simulation of hybrid boiling nano fluid flow with convective boundary conditions through a porous stretching sheet through Levenberg Marquardt artificial neural networks approach." International Journal of Heat and Mass Transfer 228 (2024): 125615. https://doi.org/10.1016/j.ijheatmasstransfer.2024.125615 DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2024.125615