An efficient approach for thermal design of masonry walls using design charts and R-value multipliers

References

• Adam Di Placido, P., D. Chong, and C. Schumacher. 2019. “Thermal Evaluation of Masonry Shelf Angle Supports for Exterior-Insulated Walls.” In ASHRAE Topical Conference Proceedings. American Society of Heating, Refrigeration and Air Conditioning Engineers, Inc.
   Google Scholar
• ANSYS. 2019. https://www.ansys.com/products/platform.
   Google Scholar
• ASHRAE. 1993. ASHRAE Handbook-Fundamentals, Chapter 22. Atlanta, GA: American Society of Heating, Refrigerating and Air-Conditioning Engineers, Inc.
   Google Scholar
• ASHRAE. 2017a. “25.2.1.3 Heat Flow across an Air Space.” In 2017 ASHRAE® Handbook – Fundamentals (SI Edition), American Society of Heating, Refrigerating and Air-Conditioning Engineers, Inc. (ASHRAE), 6.
   Google Scholar
• ASHRAE. 2017b. “25.2.1.7 Series and Parallel Heat Flow Paths.” In 2017 ASHRAE® Handbook – Fundamentals (SI Edition), American Society of Heating, Refrigerating and Air-Conditioning Engineers, Inc. (ASHRAE), 7.
   Google Scholar
• ASHRAE. 2017c. “Heat, Air, and Moisture Control in Building Assemblies – Fundamentals.” ASHRAE Handbook 2017. Fundamentals.
   Google Scholar
• ASHRAE. 2021a. “27.1.2.3 Constructions Containing Metal.” 2021 ASHRAE® Handbook – Fundamentals (SI edition) (pp. 27.4) American Society of Heating, Refrigerating and Air-Conditioning Engineers, Inc. (ASHRAE). https://app.knovel.com/hotlink/pdf/id:kt011GGSX1/ashrae-handbook-fundamentals/constructions-containing.
   Google Scholar
• ASHRAE. 2021b. Energy Standard for Buildings except Low-Rise Residential Buildings. 90 vols. Atlanta, Georga: ASHRAE.
   Google Scholar
• Ãzisik, M. N., M. N. Özışık, and M. N. Özısık. 1993. Heat Conduction. New York: John Wiley & Sons.
   Google Scholar
• Bai, G.-L., N. J. Du, Y. Z. Xu, and C. G. Qin. 2017. “Study on the Thermal Properties of Hollow Shale Blocks as Self-Insulating Wall Materials.” Advances in Materials Science and Engineering 2017: 1–12. Article ID 9432145. doi:10.1155/2017/9432145.
   Google Scholar
• Barnes, B. P., A. Pagán-Vázquez, A. P. Heffron, B. B. Mehnert, M. P. Case, A. Kumar, J. L. Lattimore, R. J. Liesen, L. D. Stephenson, and J. C. Trovillion. 2013. “Analysis Techniques, Materials, and Methods for Treatment of Thermal Bridges in Building Envelopes.”
   Google Scholar
• Basiricò, T., A. Cottone, and D. Enea. 2020. “Analytical Mathematical Modeling of the Thermal Bridge between Reinforced Concrete Wall and Inter-Floor Slab.” Sustainability 12 (23): 9964.
   Google Scholar
• Berrar, D. 2019. Cross-Validation.
   Google Scholar
• Concrete, S. L. 2007. Durability/Service Life of StructuralLightweight Concrete.
   Google Scholar
• Corporation, F. 2016. https://www.arrowco.ca/fero-corporation/.
   Google Scholar
• CSA. 2014. CSA Committee, C., CSA S304-14: Design of Masonry Structures. Mississauga, ON, Canada: CSA Group.
   Google Scholar
• Cui, H., F. Hu, Y. Zhang, and K. Zhou. 2019. “Heat Spreading Path Optimization of IGBT Thermal Network Model.” Microelectronics Reliability 103: 113511.
   Google Scholar
• D’Aloisio, J., J. Anderson, D. DeLong, R. Miller-Johnson, K. Oberdorf, R. Ranieri, T. Stine, and G. Weisenberger. 2012. “Thermal Bridging Solutions: Minimizing Structural Steel’s Impact on Building Envelope Energy Transfer.” Modern Steel Construction. Chicago: AISC.
   Google Scholar
• Deb, K. 2012. Optimization for Engineering Design: Algorithms and Examples. New Delhi, India: PHI Learning Pvt. Ltd.
   Google Scholar
• del Coz Diaz, J. J., P. G. Nieto, A. M. Rodríguez, A. L. Martínez-Luengas, and C. B. Biempica. 2006. “Non-Linear Thermal Analysis of Light Concrete Hollow Brick Walls by the Finite Element Method and Experimental Validation.” Applied Thermal Engineering 26 (8-9): 777–786.
   Google Scholar
• Desjarlais, A. O., and A. G. McGowan. 1997. “Comparison of Experimental and Analytical Methods to Evaluate Thermal Bridges in Wall Systems.” In Insulation Materials: Testing and Applications, 3rd Volume, ASTM International.
   Google Scholar
• Finch, G., M. Wilson, and J. Higgins. 2013. Thermal Bridging of Masonry Veneer Claddings & Energy Code Compliance. Philadelphia, PA: ASTM International.
   Google Scholar
• Gould, N. 2006. “An Introduction to Algorithms for Continuous Optimization.” Oxford University Computing Laboratory Notes.
   Google Scholar
• Harmathy, T., and L. Allen. 1973. “Thermal Properties of Selected Masonry Unit Concretes.” Journal Proceedings, ACI, 70: 42–132.
   Google Scholar
• Hershfield, M. 2022a. “Building Envelope Thermal Bridging Guide, version 1.6.” Hydro Power Smart. Vancouver, Canada.
   Google Scholar
• Hershfield, M. 2022b. “Thermal Performance of Building Envelope Details for Mid- and High-Rise Buildings.” ASHRAE Research Project RP-1365, Report.
   Google Scholar
• Hydro, B. 2016. “Commercial New Construction.” Building Envelope Thermal Bridging Guide. http://www.bchydro.com/powersmart/builders_developers/high_performance_building_program.html.WT.mc_id=rd_construction.
   Google Scholar
• Ismaiel, M., Y. Chen, C. Cruz-Noguez, and M. Hagel. 2021. “Thermal Resistance of Masonry Walls: A Literature Review on Influence Factors, Evaluation, and Improvement.” Journal of Building Physics 45 (4): 528–567.
   Google Scholar
• ISO. 2017a. “10211:2017 (E) Thermal Bridges in Building Construction – Heat Flows and Surface Temperatures – Detailed Calculations.” In International Organization for Standardization (ISO).
   Google Scholar
• ISO. 2017b. “6946: Building Components and Building Elements.” Thermal Resistance and Thermal Transmittance. Calculation Methods. (Polish Version PN-EN ISO 6946: 2017). Accessed December 20, 2018. https://www.iso.org/standard/65708.html.
   Google Scholar
• Kontoleon, K., T. G. Theodosiou, and K. Tsikaloudaki. 2013. “The Influence of Concrete Density and Conductivity on Walls’ Thermal Inertia Parameters Under a Variety of Masonry and Insulation Placements.” Applied Energy 112: 325–337.
   Web of Science ®Google Scholar
• Kosny, J., and J. E. Christian. 1995. Reducing the Uncertainties Associated with Using the ASHRAE Zone Method for R-value Calculations of Metal Frame Walls. American Society of Heating, Refrigerating and Air-Conditioning Engineers.
   Google Scholar
• Lawton, M., P. Roppel, D. Fookes, A. Teasdale, andD. Schoonhoven. 2010. Real R-Value of Exterior Insulated Wall Assemblies. Vancouver, BC, Canada: Morrison Hershfield Ltd.
   Google Scholar
• Liu, C. 2019. “The Convergence of Standard 90.1, 62.1 and 55: Examples of Energy Efficiency Measures.” ASHRAE Transactions 125: 223–230.
   Google Scholar
• McGowan, A., and A. Desjarlais. 1995. “A Comparison of Thermal Bridging Calculation Methods.” In Thermal Performance of the Exterior Envelopes of Buildings VI. Clearwater Beach FL.
   Google Scholar
• Mohebbi, F., and M. Sellier. 2016. “Estimation of Thermal Conductivity, Heat Transfer Coefficient, and Heat Flux Using a Three Dimensional Inverse Analysis.” International Journal of Thermal Sciences 99: 258–270.
   Google Scholar
• NECB. 2017. The National Energy Code of Canada for Buildings.
   Google Scholar
• Norris, N., M. Lawton, and P. Roppel. 2012. “The Concept of Linear and Point Transmittance and Its Value in Dealing with Thermal Bridges in Building Enclosures.” In Building Enclosure Science & Technology Conference.
   Google Scholar
• Roppel, P., M. Lawton, and N. Norris. 2011. “Research Project Report RP-1365: Thermal Performance of Buildings Envelope Details for Mid and High-Rise Buildings.” ASHRAE Inc. Report No. 5085243.01.
   Google Scholar
• Roppel, P., M. Lawton, and N. Norris. 2012. “Thermal Performance of Building Envelope Details for Mid-and High-Rise Buildings.” ASHRAE Transactions 118 (2): 33–50.
   Google Scholar
• Straube, J. 2017. “Meeting and Exceeding Building Code Thermal Performance Requirements.” Canadian Precast/Prestressed Concrete Institute.
   Google Scholar
• Strobel, H. 1989. “Strang, G., Introduction to Applied Mathematics. Wellesley, Mass. Wellesley-Cambridge Press 1986. ix, 758 pp. ISBN 0-9614088-0-4.” ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 69 (9): 311–312.
   Google Scholar
• Sturgeon, G., B. Eng, and P. Eng. 2013a. Coursing Tables, Metric Shapes and Sizes.
   Google Scholar
• Sturgeon, G., B. Eng, and P. Eng. 2013b. Physical Properties. Retrieved from Canadian Concrete Masonry Producers Association: Metric … .
   Google Scholar
• Su, H., D. Wu, M. Shen, W. Chen, and S. Wang. 2019. “Development and Performance Test Including Mechanical and_ Thermal of New Tenon Composite Block Masonry Walls.” Advances in Materials Science and Engineering 2019: 1–11. doi:10.1155/2019/5253946.
   Google Scholar
• Tawade, S. Comparative Analysis of Two-Dimensional Steady State Heat Flow Problem of a Rectangular Plate by Analytical and Numerical Approach.
   Google Scholar
• Theodosiou, T., K. Tsikaloudaki, K. Kontoleon, and C. Giarma. 2021. “Assessing the Accuracy of Predictive Thermal Bridge Heat Flow Methodologies.” Renewable and Sustainable Energy Reviews 136: 110437.
   Web of Science ®Google Scholar
• Urban, B., P. Engelmann, E. Kossecka, and J. Kosny. 2011. “Arranging Insulation for Better Thermal Resistance in Concrete and Masonry wall Systems.” In 9th Nordic Symposium on Building Physics.
   Google Scholar
• Wilson, M., G. Finch, and J. Higgins. 2013. “Masonry Design Support Details: Thermal Bridging.” In Proceedings from 12th Canadian Masonry Symposium. Vancouver, BC, Canada.
   Google Scholar
• Xie, C. 2012. “Interactive Heat Transfer Simulations for Everyone.” The Physics Teacher 50 (4): 237–240.
   Google Scholar
• Zieukiewicz, O., and R. Taylor. 1991. The Finite Element Method. 4th ed. Berkshire: McGraw Hill.
   Google Scholar
• Zorainy, M., A. Ashour, and K. Galal. 2018. Comparing Canadian and American Standards Requirements for Evaluating Masonry Compressive Strength.
   Google Scholar