• Dr.Rajshekhar S. Heera
• Santosh Veershetty

This study investigates the boundary layer flow and heat transfer of a viscous fluid over a nonlinear permeable shrinking sheet in a thermally stratified environment. The sheet is stretched in its own plane with a power-law velocity proportional to the distance from the stagnation point. The governing partial differential equations are transformed into a system of coupled ordinary differential equations using a novel similarity transformation. Unlike conventional transformations used for nonlinear stretching sheet problems, our approach enables numerical solutions for asymptotically large values of the power-law index, mm, significantly extending the range of applicability. The transformed equations are solved numerically using the implicit finite difference Keller-Box method, a robust technique for handling nonlinear boundary value problems. Numerical computations are conducted for a wide range of power-law parameters, spanning from m = 1 to m = 100,000, comprehensively analyze the influence of thermal stratification on the velocity and temperature fields. The results are presented through detailed graphs and tables, highlighting the effects of key parameters on the flow and thermal characteristics. Additionally, numerical values for the skin-friction coefficient and Nusselt number are tabulated for various parameter combinations, providing valuable insights into the heat transfer and fluid flow behavior. The findings of this study have significant implications for industrial applications, such as polymer processing, metallurgy, and thermal management of electronic devices, where nonlinear stretching and thermal stratification play critical roles. By offering solutions for a broader range of power-law stretching scenarios, this work advances the understanding of boundary layer flows and contributes to the development of more accurate models for real-world engineering problems.

Boundary layer flow; similarity solution; power law stretching; Keller-Box method; heat transfer

"NUMERICAL STUDY OF BOUNDARY LAYER FLOW AND HEAT TRANSFER OVER A NONLINEAR PERMEABLE SHRINKING SHEET IN A THERMALLY STRATIFIED ENVIRONMENT", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.8, Issue 7, page no.g938-g946, July-2021, Available :http://www.jetir.org/papers/JETIR2107846.pdf

"NUMERICAL STUDY OF BOUNDARY LAYER FLOW AND HEAT TRANSFER OVER A NONLINEAR PERMEABLE SHRINKING SHEET IN A THERMALLY STRATIFIED ENVIRONMENT", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.8, Issue 7, page no. ppg938-g946, July-2021, Available at : http://www.jetir.org/papers/JETIR2107846.pdf