Newtonian pipe flow is known to be linearly stable at all Reynolds numbers. We report, for the first time, a linear instability of pressure-driven pipe flow of a viscoelastic fluid, obeying the Oldroyd-B constitutive equation commonly used to model dilute polymer solutions. The instability is shown to exist at Reynolds numbers significantly lower than those at which transition to turbulence is typically observed for Newtonian pipe flow. Our results qualitatively explain experimental observations of transition to turbulence in pipe flow of dilute polymer solutions at flow rates where Newtonian turbulence is absent. The instability discussed here should form the first stage in a hitherto unexplored dynamical pathway to turbulence in polymer solutions. An analogous instability exists for plane Poiseuille flow.

Ribonucleases are ubiquitous in distribution. Ribonucleases that hydrolyse RNA to 3' mononucleotides via 2', 3' cyclic nucleotides are classified into three groups, RNase A, RNase T1, and RNase T2 families. Apart from salvage of cellular or extracellular RNAs, RNases participate in vital cellular functions such as DNA replication, transcription and RNA processing, splicing and editing, and control of translation by determining the turnover of RNA. T2 family RNases have been implicated in nutrition, phosphate remobilization, self-incompatibility, senescence, and defense against pathogens. They are important analytical enzymes and have been exploited for the structural determination of RNAs. Although considerable information is available on RNase A and T1 family RNases, less information is available on RNases from T2 family except RNase Rh from Rhizopus niveus and RNase LE from tomato. However, during the last few years, the primary structure, active site nature based on sequence homology, and probable mechanism of action have been postulated for some of these enzymes. RNases of T2 family, their occurrence, purification, characteristics, biological role, and applications have been reviewed.

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Single-strand-specific nucleases are multifunctional enzymes and widespread in distribution. Their ability to act selectively on single-stranded nucleic acids and single-stranded regions in double-stranded nucleic acids has led to their extensive application as probes for the structural determination of nucleic acids. Intracellularly, they have been implicated in recombination, repair and replication, whereas extracellular enzymes have a role in nutrition. Although more than 30 single-strand-specific nucleases from various sources have been isolated till now, only a few enzymes (S1 nuclease from Aspergillus oryzae, P1 nuclease from Penicillium citrinum and nucleases from Alteromonas espejiana, Neurospora crassa, Ustilago maydis and mung bean) have been characterized to a significant extent. Recently, some of these enzymes have been cloned, their crystal structures solved and their interactions with different substrates have been established. The detection, purification, characteristics, structure-function correlations, biological role and applications of single-strand-specific nucleases are reviewed.

Invertase is a commercially important enzyme used for the hydrolysis of sucrose. The hydrolysis of sucrose yields an equimolar mixture of glucose and fructose, known as invert syrup, is widely used in food and beverage industries. This enzyme is also used for the manufacture of artificial honey, plasticizing agents used in cosmetics, pharmaceutical and paper industries as well as enzyme electrodes for the detection of sucrose. Immobilization of invertase and its biotechnological applications are reviewed.

Experiments are performed to characterize the onset of laminar–turbulent transition in the flow of high-molecular-weight polymer solutions in rigid microtubes of diameters in the range $390~\unicode[STIX]{x03BC}\text{m}{-}470~\unicode[STIX]{x03BC}\text{m}$ using the micro-PIV technique. By considering flow in tubes of such small diameters, the present study probes higher values of elasticity numbers ($E\equiv \unicode[STIX]{x1D706}\unicode[STIX]{x1D708}/R^{2}$) compared to existing studies, where $\unicode[STIX]{x1D706}$ is the longest relaxation time of the polymer solution, $R$ is the tube radius and $\unicode[STIX]{x1D708}$ is the kinematic viscosity of the polymer solution. For the Newtonian case, our experiments indicate that the natural transition (without the aid of any forcing mechanism) occurs at Reynolds number ($Re$) $2000\pm 100$. As the concentration of polymer is increased, initially there is a delay in the onset of the transition and the transition Reynolds number increases to $2500$. Further increase in concentration of the polymer results in a decrease in the Reynolds number for transition. At sufficiently high concentrations, the added polymer tends to destabilize the flow and the transition is observed to happen at $Re$ as low as $800$. It is also observed that the addition of polymers, regardless of their concentration, reduces the magnitude of the velocity fluctuations after transition. Dye-stream visualization is further used to corroborate the onset of transition in the flow of polymer solutions. The present work thus shows that addition of polymer, at sufficiently high concentrations, destabilizes the flow when compared to that of a Newtonian fluid, thereby providing additional evidence for ‘early transition’ or ‘elasto-inertial turbulence’ in the flow of polymer solutions. The data for the transition Reynolds number $Re_{t}$ from our experiments (for tubes of different diameters, and for two different polymers at varying concentrations) collapse well according to the scaling relation $Re_{t}\propto 1/\sqrt{E(1-\unicode[STIX]{x1D6FD})}$, where $\unicode[STIX]{x1D6FD}$ is the ratio of solvent viscosity to the viscosity of the polymer solution.

We present a theory of the linear viscoelasticity of dilute solutions of freely draining, inextensible, semiflexible rods. The theory is developed expanding the polymer contour about a rigid rod reference state, in a manner that respects the inextensibility of the chain, and is asymptotically exact in the rodlike limit where the polymer length L is much less than its persistence length L p. In this limit, the relaxation modulus G(t) exhibits three time regimes: At very early times, less than a time ʈ ϰ L 8 /L p 5 required for the end-to-end length of a chain to relax significantly after a deformation, the average tension induced in each chain and G(t) both decay as t Ϫ3/4. Over a broad range of intermediate times, ʈ Ӷ t Ӷ Ќ , where Ќ ϰ L 4 /L p is the longest relaxation time for the transverse bending modes, the end-to-end length decays as t Ϫ1/4 , while the residual tension required to drive this relaxation and G(t) both decay as t Ϫ5/4. As later times, the stress is dominated by an entropic orientational stress, giving G(t) ϰ e Ϫt/rod , where rod ϰ L 3 is a rotational diffusion time, as for rigid rods. Predictions for G(t) and G*() are in excellent agreement with the results of Brownian dynamics simulations of discretized free draining semiflexible rods for lengths up to L ϭ L p , and with linear viscoelastic data for dilute solutions of poly-␥-benzyl-L-glutamate with L ϳ L p .

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