近日,河北师范大学数学科学学院Alexander A.Ivanov教授以“Geometry of the Thompson Group”为题在代数学领域权威期刊《Journal of Algebra》上发表文章,针对著名数学家Thompson和Smith所关注的单群E构造法进行了改进,通过探究相关...近日,河北师范大学数学科学学院Alexander A.Ivanov教授以“Geometry of the Thompson Group”为题在代数学领域权威期刊《Journal of Algebra》上发表文章,针对著名数学家Thompson和Smith所关注的单群E构造法进行了改进,通过探究相关子群的陪集几何结构,将其几何呈现与Havas-Soicher-Wilson的成果相统一,由此为群E提供了新的几何构造方法及唯一性证明。展开更多
This work investigates thermal enhancement in fluid flow over a nonlinear stretching sheet.The thickness of the sheet is variable and the flow of the fluid is affected by solar radiation energy with Thompson and Troia...This work investigates thermal enhancement in fluid flow over a nonlinear stretching sheet.The thickness of the sheet is variable and the flow of the fluid is affected by solar radiation energy with Thompson and Troian slip effects.The flow is magnetized by applying a magnetic field in the normal direction to the flow system.Moreover,thermal transport is controlled by incorporating the Cattaneo-Christov heat fluid model into the flow problem.The governing equations,initially framed in their dimensional form,are meticulously transformed into a dimensionless framework to simplify the analysis.These dimensionless equations are then solved using the homotopy analysis method(HAM).It is observed in this study that upsurges in the stagnation parameter,critical shear rate and velocity slip factor augment the velocity distribution while reducing the thermal profiles.The velocity distribution deteriorates while the thermal profiles are amplified with expansions in the magnetic factor and power law index.The thermal distribution also increases with rising Prandtl number and radiation factor.Augmentation of the power-law index,velocity slip parameter,critical shear rate,magnetic factor and stagnation parameter leads to an increased Nusselt number.The modeled problem is validated by comparing the current results with established work for different values of nonlinear stretching factor n in terms of the drag force and thermal flow rate at η=0,and a good agreement is observed between the current and established results.展开更多
文摘近日,河北师范大学数学科学学院Alexander A.Ivanov教授以“Geometry of the Thompson Group”为题在代数学领域权威期刊《Journal of Algebra》上发表文章,针对著名数学家Thompson和Smith所关注的单群E构造法进行了改进,通过探究相关子群的陪集几何结构,将其几何呈现与Havas-Soicher-Wilson的成果相统一,由此为群E提供了新的几何构造方法及唯一性证明。
基金supported via funding from Prince Sattam bin Abdulaziz University project number(PSAU/2025/R/1446)。
文摘This work investigates thermal enhancement in fluid flow over a nonlinear stretching sheet.The thickness of the sheet is variable and the flow of the fluid is affected by solar radiation energy with Thompson and Troian slip effects.The flow is magnetized by applying a magnetic field in the normal direction to the flow system.Moreover,thermal transport is controlled by incorporating the Cattaneo-Christov heat fluid model into the flow problem.The governing equations,initially framed in their dimensional form,are meticulously transformed into a dimensionless framework to simplify the analysis.These dimensionless equations are then solved using the homotopy analysis method(HAM).It is observed in this study that upsurges in the stagnation parameter,critical shear rate and velocity slip factor augment the velocity distribution while reducing the thermal profiles.The velocity distribution deteriorates while the thermal profiles are amplified with expansions in the magnetic factor and power law index.The thermal distribution also increases with rising Prandtl number and radiation factor.Augmentation of the power-law index,velocity slip parameter,critical shear rate,magnetic factor and stagnation parameter leads to an increased Nusselt number.The modeled problem is validated by comparing the current results with established work for different values of nonlinear stretching factor n in terms of the drag force and thermal flow rate at η=0,and a good agreement is observed between the current and established results.
基金Supported by the National Natural Science Foundation of China(10871032)the SRFDP of China(20060285002)+2 种基金a Subproject of the NNSF of China(50674008)Chongqing Univer-sity(104207520080834104207520080968)
