关键词: 声速, 溶液浓度, 溶液温度, 麦夸特法多参量拟合

Abstract: To investigate the influence of concentration and temperature on the speed of sound in electrolyte and non-electrolyte solutions, an experimental study was conducted using the phase comparison method to measure the sound velocity in NaCl(electrolyte)and sucrose(non-electrolyte)solutions with mass fractions ranging from 4.5% to 22.5% over a temperature range of 25 ℃ to 65 ℃. The findings reveal a strong linear relationship between sound velocity, temperature, and concentration.In comparison, the speed of sound in NaCl solution is more sensitive to changes in concentration and temperature.Fitting formulas v(ω,t)for sound velocity, temperature, and concentration were obtained for both solutions. The coupling effect between concentration and temperature can also cause changes in the sound propagation velocity in different solutions. These research outcomes offer experimental evidence for variations in sound velocity- 引用格式:张玲,彭芯钰,章瑞环,等.基于Winkler地基梁理论的拼宽公路新老路基差异沉降分析［J］.河北大学学报(自然科学版),2026,46(1):1-12.引用格式:刘洋, 马文萱, 刘月超.浓度温度耦合作用对不同电解性液体中声速的影响［J］.河北大学学报(自然科学版),2026,46(1):34-41.DOI:10.3969/j.issn.1000-1565.2026.01.004浓度温度耦合作用对不同电解性液体中声速的影响刘洋¹, 马文萱², 刘月超¹(1.华北电力大学 数理系, 河北 保定 071003;2. 华北电力大学 电力工程系, 河北 保定 071003)摘 要:为了研究电解质溶液和非电解质溶液中浓度与温度对声传播速度的影响,采用相位比较法对质量分数为4.5%~22.5%的NaCl(电解质)与蔗糖(非电解质)溶液,在温度为25~65 ℃对应的声速开展实验研究.结果表明:声速与温度、浓度均具有良好的线性关系.相比而言,NaCl溶液中的声速对浓度和温度的变化更为敏感.得到2种溶液声速与温度和浓度的拟合公式v(w,t),浓度与温度的耦合作用会造成不同溶液中声传播速度的变化.研究结果为不同溶液中的声速变化提供了实验依据,同时为采用声学手段进行溶液参数(浓度、温度)反演提供了参考公式,奠定了声学测量液体参数的理论依据.关键词:声速;溶液浓度;溶液温度;麦夸特法多参量拟合中图分类号:O424 文献标志码:A 文章编号:1000-1565(2026)01-0034-08DOI:10.3969/j.issn.1000-1565.2026.01.004Effect of concentration-temperature coupling on soundvelocity in different electrolytic liquidsLIU Yang¹, MA Wenxuan², LIU Yuechao¹(1. Department of Mathematics and Physics, North China Electric Power University, Baoding 071003,China;2. Department of Power Engineering, North China Electric Power University, Baoding 071003, China)Abstract: To investigate the influence of concentration and temperature on the speed of sound in electrolyte and non-electrolyte solutions, an experimental study was conducted using the phase comparison method to measure the sound velocity in NaCl(electrolyte)and sucrose(non-electrolyte)solutions with mass fractions ranging from 4.5% to 22.5% over a temperature range of 25 ℃ to 65 ℃. The findings reveal a strong linear relationship between sound velocity, temperature, and concentration.In comparison, the speed of sound in NaCl solution is more sensitive to changes in concentration and temperature.Fitting formulas v(ω,t)for sound velocity, temperature, and concentration were obtained for both solutions. The coupling effect between concentration and temperature can also cause changes in the sound propagation velocity in different solutions. These research outcomes offer experimental evidence for variations in sound velocity- 收稿日期:2025-05-09;修回日期:2025-07-11 基金项目:国家自然科学基金项目(12274122);河北省高等教育教学改革研究与实践项目(2023GJJG427); 河北省自然科学基金项目(A2025502025;A2021502001) 第一作者:刘洋(1988—),男,华北电力大学工程师,主要从事物理声学方向研究.E-mail:yangliu9111@126.com 通信作者:刘月超(1987—),男,华北电力大学讲师,博士,主要从事非线性声学及其应用方向研究.E-mail:liuyuechao@ncepu.edu.cn 第1期刘洋等:浓度温度耦合作用对不同电解性液体中声速的影响河北大学学报(自然科学版) 第46卷across different solutions and provide reference formulas for the determination of solution parameters(concentration, temperature)using acoustic methods. This lays a theoretical foundation for acoustic measurements of liquid parameters.

Key words: sound velocity, solution concentration, solution temperature, multi-parameter fitting using the Macquart method