Assessment of twist tape thermal performance in heat transfer passive augmentation technique

Abstract

Processing processes such as petrochemical, refineries, pharmaceutical, thermal, chemical, and integrated chemical industries such as the food, dairy and sugar industries have been widely used for heat exchange. Additional techniques have been used in the formulation of various twist geometry gestures such as helical film, triangular/rectangular/trapezoidal tape, HiTrain wire matrix mould, a novel turbulator with a diameter (p/d), well placed/separated broken twisted tapes, conic splitting, and other geometric tapes are well researched with Reynolds number range 13–500,000 liquid processing solutions such as ethylene glycol and turbine oil respectively. This paper also highlighted the impact of circular holes, rectangular holes, angle of entry, wavy rate and tape size in the optimal temperature parameter such as thermal enhancement factor 1.04–3 varies with Reynolds' number from 100 to 20,000. By test/numerical reading the curved ratio was calculated from 0.25 short lengths to 20 trapezoidal cuts with tape geometry through various reviews. The Jacobean matrix associated to the linear equation is given by,$$\begin{aligned} J\left( X \right) & = \left[ { \begin{array}{*{20}c} {\frac{{\partial f_{1} }}{{\partial T_{2} }}} & {\frac{{\partial f_{1} }}{{\partial T_{4} }}} \\ {\frac{{\partial f_{2} }}{{\partial T_{2} }}} & {\frac{{\partial f_{2} }}{{\partial T_{4} }}} \\ \end{array} } \right] \\ \frac{{\partial f_{1} }}{{\partial T_{2} }} & = - Q_{h } Cp_{h} \\ \frac{{\partial f_{1} }}{{\partial T_{4} }} & = - Q_{c } Cp_{c} \\ \frac{{\partial f_{2} }}{{\partial T_{2} }} & = - Q_{h } Cp_{h} - \left\{ { \frac{{\left[ {U A \left\{ { \left( {T_{1} - T_{4} } \right) - \left( {T_{4} - T_{3} } \right) } \right\}} \right] \left[ { \frac{{\left( {T_{1} - T_{4} } \right)}}{{\left( {T_{2} - T_{3} } \right)}} } \right] ^{2 } }}{{\ln \left[ {\frac{{\left( {T_{1} - T_{4} } \right)}}{{\left( {T_{2} - T_{3} } \right)}}} \right] ^{2 } }}} \right\}. \\ \end{aligned}$$ J X = ∂ f 1 ∂ T 2 ∂ f 1 ∂ T 4 ∂ f 2 ∂ T 2 ∂ f 2 ∂ T 4 ∂ f 1 ∂ T 2 = - Q h C p h ∂ f 1 ∂ T 4 = - Q c C p c ∂ f 2 ∂ T 2 = - Q h C p h - U A T 1 - T 4 - T 4 - T 3 T 1 - T 4 T 2 - T 3 2 ln T 1 - T 4 T 2 - T 3 2 . Compared to a blank tube, the heat transfer rate and the friction factor improved by 20% when using full-length tapes y = 2.5, and NNu increased 9 times to y = 3.125. There is a 30–40% increase using different twisted tapes. This in-depth study is common use in industrial systems to gain power.